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Thomas Stieltjes Institute for Mathematics.

The PhD-project on `Sign preserving properties for higher order elliptic operators'.
 
 
 
Address at Delft University of Technology
 
 
Visitors:  
EWI, Dept. of Applied Math. Anal., 
TUDelft 
Room HB 04.050 EWI-building 
Mekelweg 4 
2628 CD Delft 		 Mail:  
EWI, Dept. of Applied Math. Anal., 
TUDelft 
P.O.Box 5031 
2600 GA Delft 
The Netherlands 
Phone:  
**31-15-2787293 		Fax:  
**31-15-2787245 
E-mail:  
g.h.sweers@ewi.tudelft.nl
 
 
 
 
 
 
List of publications
 
 
down- loadables
  1 Ph. Clément, G. Sweers, Existence et multiplicité des solutions d'un problème aux valeurs propres elliptique semilinéaires, C.R. Acad Sc. Paris 302, Série I, 19 (1986), 682-683.
  2 Ph. Clément, G. Sweers, Existence and multiplicity results for a semilinear elliptic eigenvalue problem, Annali della Scuola Normale Superiore di Pisa, Cl.Sci. (4) 14, (1987), 97-121.
  3 G. Sweers, Some results for a semilinear elliptic problem with a large parameter, Proceedings ICIAM 87, Contributions from the Netherlands, Paris La-Villette, 1987.
  4 Ph. Clément, G. Sweers, Getting a solution between sub- and supersolutions without monotone iteration, Rendiconti dell'Istituto di Matematica dell'Università Trieste 19 (1987), 189-194.
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  5 B. Kawohl, G. Sweers, Remarks on eigenvalues and eigenfunctions of a special elliptic system, Journal of Appl. Math. Ph. (ZAMP) 38 (1987), 730-740.
  6 G. Sweers, On the maximum of solutions for a semilinear elliptic problem, Proceedings of the Royal Society of Edinburgh, 108A (1988), 357-370.
  7 G. Sweers, A counterexample with convex domain to a conjecture of De Saint Venant, Journal of Elasticity 22 (1989), 57-61.
  8 G. Sweers, A strong maximum principle for a noncooperative elliptic system, SIAM Journal Math. Anal. 20 (1989), 367-371.
  9 G. Sweers, Semilinear elliptic problems on domains with corners, Commun. in Partial Differential Equations 14 (1989), 1229-1247. 
 10 G. Sweers, Estimates for elliptic singular perturbations in L-p -type spaces, Asymptotic Analysis 2 (1989), 101-138. 
 11 Ph. Clément, G. Sweers, On subsolutions to a semilinear elliptic problem, in Recent advances in nonlinear elliptic and parabolic problems, ed. P. Bénilan e.a., Pitman Research Notes in Math. 208, Longman, Harlow 1989, 267-273.
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 12 E.N. Dancer, G. Sweers, On the existence of a maximal weak solution for a semilinear elliptic equation, Differential and Integral Equations 2 (1989), 533-540. supplement
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 13 B. Kawohl, G. Sweers, On quasiconvexity, rank-one convexity and symmetry, Delft Progress Report 14 (1990), 251-263. 
 14 G. Sweers, A sign-changing global minimizer on a convex domain, in Progress in Partial Differential Equations: Elliptic and Parabolic Problems, ed. C. Bandle e.a., Pitman Research Notes in Math. 266, Longman, Harlow 1992, 251-258. 
 15 G. Sweers, Strong positivity in for elliptic systems, Math. Zeitschrift 209 (1992), 251-271. 
 16 G. Sweers, On examples to a conjecture of De Saint Venant, Nonlinear Analysis T.M.A. 18 (1992), 889-891. 
 17 G. Sweers, Positivity for a strongly coupled elliptic system by Green function estimates, Journal of Geometric Analysis. 4 (1994), 121-142. 
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 18 W. Caspers, G. Sweers, Point interactions on bounded domains, Proceedings of the Royal Society of Edinburgh 124A (1994), 917-926. 
 19 E. Mitidieri, G. Sweers, Existence of a maximal solution for quasimonotone elliptic systems, Differential and Integral Equations 7 (1994), 1495-1510.
 20 G. Sweers, A noncooperative mixed parabolic-elliptic system and positivity, Rend. Ist. Mat. Trieste 26 (1994), 361-375,  DVI
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 21 E. Mitidieri, G. Sweers, Weakly coupled systems and positivity, Math. Nachrichten 173 (1995), 259-286.  DVI
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 22 E. Mitidieri, G. Sweers, R.C.A.M. van der Vorst, Non existence theorems for systems of quasilinear partial differential equations, Differential and Integral Equations 8 (1995), 1331-1354. 
 23 Ph. Clément, R. Hagmeijer, G. Sweers, On a Dirichlet problem related to the invertibility of mappings arising in 2D grid generation problems, in 'Calculus of variations, applications and computations, Pont-à-Mousson 1994', (ed. C. Bandle, J. Bemelmans, and M. Chipot) Pitman Research Notes in Math. 326, Longman, Harlow 1995, p. 67-83.  PS-gzip
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 24 Ph. Clément, R. Hagmeijer, G. Sweers, On the invertibility of mappings arising in 2D grid generation problems, Numer. Math. 73 (1996), 37-51.  PS
 25 H.-Ch. Grunau, G. Sweers, Positivity for perturbations of polyharmonic operators with Dirichlet boundary conditions in two dimensions, Math. Nachr. 179 (1996), 89-102. 
DVI
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 26 H.-Ch. Grunau, G. Sweers, Positivity for equations involving polyharmonic elliptic operators with Dirichlet boundary conditions, Math. Ann. 307 (1997), 589-626. 
DVI
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 27 H.-Ch. Grunau, G. Sweers, Classical solutions for some higher order semilinear elliptic equations under weak growth conditions, Nonlinear Analysis, T.M.A. 28 (1997), 799-807. 
DVI
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 28 R. Manásevich, G. Sweers, A noncooperative system with p-Laplacians that preserves positivity, Nonlinear Analysis 36, (1999), 511-528.
DVI
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 29 N. Stavrakakis, G. Sweers, Positivity for a noncooperative system of elliptic equations in  , Advances in Differential Equations 4 (1999), 115-136.
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 30 G. Sweers, L^N is sharp for the antimaximum principle, J. Differential Equations 134 (1997), 148-153. PS
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 31 G. Sweers, Hopf's lemma and two-dimensional domains with corners, Rend. Ist. Mat. Trieste. Suppl. Vol. XXVIII (1997), 383-419. DVI-gzip PS-gzip
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 32 Shuanhu Li and Guido Sweers, Closed-form solution for a moving boundary problem, Tsinghua Science and Technology 3 (1998), 1233-1235,1239.
 33 H.-Ch. Grunau, G. Sweers, The maximum principle and positive principal eigenfunctions for polyharmonic equations, in Reaction Diffusion systems, Marcel Dekker Inc., New York 1997, p 163-182. DVI
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 34 H.-Ch. Grunau, G. Sweers, Positivity properties of elliptic boundary value problems of higher order, Nonlinear Analysis, T.M.A. 30 (1997), 5251-5258 (Proc. 2nd World Congress of Nonlinear Analysts).
DVI
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 35 P. Freitas, G. Sweers, Positivity results for a nonlocal elliptic equation, Proceedings of the Royal Society of Edinburgh 128A (1998), 697-715.
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 36 I. Birindelli, E. Mitidieri and G. Sweers, Existence of the principal eigenfunction for cooperative elliptic systems in a general domain, Differentsial'nye Uravneniya 35, N3, (1999) (in Russian). (translation in Differential Equations 35, 3 (199), 326-334, or the original english manuscript, 23pp.)
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 37 H.-Ch. Grunau and G. Sweers, The role of positive boundary data in the generalized clamped plate equation, ZAMP 49 (1998), 420-435.  DVI
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 38 C.J. Reinecke and G. Sweers, A positive solution on  to a system of elliptic equations of Fitzhugh-Nagumo type, J. Differential Equations 153 (1999), 292-312. PS
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 39 G. Sweers, E. Zuazua, On the non-existence of some special eigenfunctions for the Dirichlet Laplacian and the Lamé system, J. Elasticity 52 (1999), 111-120. PS
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 40 Ph. Clément, G. Sweers, Uniform anti-maximum principles, J.Differential Equations 164 (2000), 118-154. PS
DVI
 41 H.-Ch. Grunau, G. Sweers, Nonexistence of local minima of supersolutions for the circular clamped plate, Pacific J. Math. 198 (2001), 437-442. PS
DVI
 42 H.-Ch. Grunau, G. Sweers, Sign change for the Green function and the first eigenfunction of equations of clamped-plate type, Archives Rat. Mech. Anal. 150 (1999), 179-190. PS
PS-gzip
 43 C.J. Reinecke, G. Sweers, A boundary layer solution to a semilinear elliptic system of FitzHugh- Nagumo type, C.R.Acad.Sci. Paris t. 329 Série I (1999), 27-32. PS
DVI
 44 C.J. Reinecke, G. Sweers, Existence and uniqueness of solutions on bounded domains to a FitzHugh- Nagumo type elliptic system, Pacific J. Math. 197 (2001), 183-211. PS
 45 Ph. Clément, G. Sweers, Uniform anti-maximum principles for polyharmonic equations, Proc. Amer. Math. Soc. 129 (2000), 467-474. PS
 46 H.-Ch. Grunau, G. Sweers, Sharp estimates for iterated Green functions, Proceedings of the Royal Society of Edinburgh 132A (2002), 91-120. PS
DVI
 47 H.-Ch. Grunau, G. Sweers, Optimal conditions for anti-maximum principles, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 30 (2001), 499-513. PS
DVI
 48 G. Sweers, When is the first eigenfunction for the clamped plate equation of fixed sign? in Electron. J. Diff. Eqns., Conf. 06, 2001, pp. 285-296. (2001) PS-gzip
 49a B. Kawohl and G. Sweers, Among all 2-dimensional convex domains the disk is not optimal for the lifetime of a conditioned Brownian motion, Journal d' Analyse Mathématique 86 (2002), 335-357.
 49b B. Kawohl and G. Sweers, Among all 2-dimensional convex domains the disk is not optimal for the lifetime of a conditioned Brownian motion, -- the extended version --, 86 pages (736 KB, only prints as image); for printing (1777 KB).
 50 C. Reinecke and G. Sweers, Solutions with internal jump for an autonomous elliptic system of FitzHugh-Nagumo type, Math. Nachr. 251 (2003), 64-87.
 51 B. Kawohl and G. Sweers, On 'anti'-eigenvalues for elliptic systems and a question of McKenna and Walter, Indiana U. Math. J. 51, (2002), 1023-1040.
 52 B. Kawohl and G. Sweers, Inheritance of symmetry for positive solutions of semilinear elliptic boundary value problems, Annales Inst. H.Poincaré 19 (2002), 705-714.
 53 G. Sweers and W.C. Troy, On the bifurcation curve for an elliptic system of FitzHugh- Nagumo type, Physica D. 177 (2003), 1-22.
 54 G. Sweers, No Gidas-Ni-Nirenberg type result for semilinear biharmonic problems, Math. Nach. 246-247 (2002), 202-206.
 55 A. Dall'Acqua, H.-Ch. Grunau and G. Sweers, On a conditioned Brownian motion and a maximum principle on the disk, Journal d'Analyse Mathématique 93 (2004), 309-329.
 56 A. Dall'Acqua and G. Sweers, The clamped plate equation on the Limaçon, to appear in  Annali di Matematica Pura ed Applicata. (The original publication is available at springerlink.com, © Springer).
 57 R. Manasevich and G. Sweers, A comparison result for perturbed radial p-Laplacians, J.M.A.A. 291 (2004), 1-19.
 58 A. Dall'Acqua and G. Sweers, On domains for which the clamped plate system is positivity preserving, to appear in: Partial Differential Equations and Inverse Problems, ed. by Carlos Conca, Raul Manasevich, Gunter Uhlmann and Michael Vogelius, AMS, 2004.
 59 A. Dall'Acqua and G. Sweers, Estimates for Green function and Poisson kernels of higher order Dirichlet boundary value problems, J. Differential Equations 205 (2004), 466-487.
 60 Ph. Clément, B. de Pagter, G. Sweers and F. de Thélin, Existence of solutions to a semilinear elliptic system through Orlicz-Sobolev spaces, Mediterranean Journal of Mathematics 1 (2004), 241-267.
 61 B. Kawohl and G. Sweers, On the differential equation uxxxx+uyyyy=f   for an anisotropic stiff material, to appear in SIMA .
 62 A. Dall'Acqua, Ch. Meister, G. Sweers, Separating positivity and regularity for fourth order Dirichlet problems in 2d-domains, to appear in Analysis.
 63 H.-Ch. Grunau and G. Sweers, Regions of positivity for polyharmonic Green functions in arbitrary domains, (submitted).
 64 M. van den Berg, A. Dall'Acqua, G. Sweers, Expected lifetime of $h$-conditioned Brownian motion, (submitted).
 65 S.A. Nazarov and G. Sweers, A hinged plate equation and iterated Dirichlet Laplace operator on domains with concave corners, (submitted).
 66 S.A. Nazarov and G. Sweers, Boundary value problems for the bi-harmonic equation and the iterated Laplacian in a three-dimensional domain with an edge, (submitted).
 67 O.V. Izotova, S.A. Nazarov and G. Sweers, Weighted Korn inequalities for thin-walled elastic structures, (in preparation).
Educational
A
 G. Sweers, Complexe functies, gewone en partiële differentiaalvergelijkingen, Delft University Press, 1998, ISBN 90-407-1681-1. errata
B
 G. Sweers, Dictaat Complexe Functies (in Dutch)
C
 G. Sweers, Lecture Notes on Maximum Principles, december 2000 (for printer) ps-zip
ps-gzip
D
 G. Sweers, Lecture Notes on Differential Equations of Mathematical Physics (1.5Mb), Corso Estivo di Mathematica, Perugia, summer 2003. ps-zip 7.3Mb!

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Conferences (co-organised)
 
 
The Delft Meeting on Functional Analysis and Nonlinear Partial Differential Equations
Delft, May 25-27 1998.
M.F.O. Mini-Workshop: Elliptic and Parabolic Problems of Higher Order
Oberwolfach, June 8-14 2001.
Partial Differential Equations and Functional Analysis, Workshop Philippe Clément
Delft, November 30 - December 1 2004.
 
 
 
Coauthors
 
 
 #  I. Birindelli Uni. Roma1 Italy
 #  W. Caspers w.caspers@adelbert.nl
 #  Ph. Clément Ph.P.J.E.Clement@ewi.tudelft.nl
 #  A. Dall'Acqua T.U. Delft
 #  E.N. Dancer Math. Uni. Sydney, Australia
 #  P.S.C. de Freitas Math., Instituto Superior Técnico, Lisbon
 #  H.-Ch. Grunau Otto-von-Guericke Universität Magdeburg
 #  R. Hagmeijer Wb, Uni. Twente
 #  B. Kawohl Uni. Köln
 #  Shuanhu (Steven) Li Queensland University of Technology (private)
 #  R. Manásevich manasevi@dim.uchile.cl
 #  E. Mitidieri Uni. Trieste, Italy
 #  C. J. Reinecke Carolus.Reinecke@standardbank.co.za
 #  N. Stavrakakis National Techn. Uni. Athens, Greece
 # William C. Troy Pittsburgh University
 #  R.C.A.M. van der Vorst vdvorst@cs.vu.nl 
 #  E. Zuazua Uni Complutense Madrid, Spain



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Last modified on
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