Edit Profile (opens in new tab) Sweers, Guido H. Co-Author Distance Author ID: sweers.guido-h Published as: Sweers, Guido; Sweers, G.; Sweers, G. H.; Sweers, Guido H. more...less External Links: MGP Documents Indexed: 110 Publications since 1986, including 1 Book 1 Contribution as Editor Reviewing Activity: 57 Reviews Co-Authors: 44 Co-Authors with 89 Joint Publications 1,150 Co-Co-Authors all top 5 Co-Authors 22 single-authored 18 Grunau, Hans-Christoph 12 Nazarov, Sergeĭ Aleksandrovich 10 Clément, Philippe J. E. 8 Kawohl, Bernd 5 Dall’Acqua, Anna 5 Slutskij, Andrey S. 4 Mitidieri, Enzo Luigi 4 Reinecke, Carolus 4 Schnieders, Inka 3 Beygmohammadi, Maryam 3 Gazzola, Filippo 3 Stylianou, Athanasios N. 2 De Coster, Colette 2 de Pagter, Bernardus 2 Erven, Matthias 2 Gerasimov, Tymofiy 2 Hagmeijer, Rob 2 Izotova, O. V. 2 Manasevich, Raul F. 2 Nicaise, Serge 1 Bakharev, Fedor L’vovich 1 Birindelli, Isabeau 1 Campbell, Alain 1 Caspers, Wim 1 Dall’ Acqua, A. 1 Dancer, Edward Norman 1 de Thélin, François 1 Freitas, Pedro 1 Koelink, Erik 1 Kulikov, A. A. 1 Li, Shuanhu 1 Lucia, Marcello 1 Meister, Christian 1 Nitsch, Carlo 1 Reyes, Carlos Andrés 1 Robert, Frédéric 1 Romani, Giulio 1 Stavrakakis, Nikolaos M. 1 Troy, William C. 1 van den Berg, Michiel 1 van Neerven, Jan M. A. M. 1 Vandervorst, Robertus C. A. M. 1 Vassi, Katerina 1 Zuazua, Enrique all top 5 Serials 6 Journal of Differential Equations 6 Mathematische Nachrichten 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 SIAM Journal on Mathematical Analysis 4 Nonlinear Analysis. Theory, Methods & Applications 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Archiv der Mathematik 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the American Mathematical Society 3 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 3 Differential and Integral Equations 3 Journal of Elasticity 3 Communications on Pure and Applied Analysis 2 Archive for Rational Mechanics and Analysis 2 Journal d’Analyse Mathématique 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Mathematische Annalen 2 Pacific Journal of Mathematics 2 Journal of Mathematical Sciences (New York) 2 Electronic Journal of Differential Equations (EJDE) 2 Positivity 2 Discrete and Continuous Dynamical Systems. Series S 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Applied Mathematics and Mechanics 1 Journal of Mathematical Analysis and Applications 1 Differential Equations 1 Indiana University Mathematics Journal 1 Journal of the Korean Mathematical Society 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Delft Progress Report 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Asymptotic Analysis 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Vestnik St. Petersburg University. Mathematics 1 Potential Analysis 1 Advances in Differential Equations 1 Sbornik: Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Revista Matemática Complutense 1 Tsinghua Science and Technology 1 Analysis (München) 1 Doklady Physics 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Mediterranean Journal of Mathematics 1 Complex Variables and Elliptic Equations 1 Lecture Notes in Mathematics 1 Mathematics and Mechanics of Complex Systems 1 Operator Theory: Advances and Applications 1 Pure and Applied Analysis all top 5 Fields 101 Partial differential equations (35-XX) 25 Mechanics of deformable solids (74-XX) 12 Potential theory (31-XX) 8 Operator theory (47-XX) 5 Probability theory and stochastic processes (60-XX) 4 Functional analysis (46-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 93 Publications have been cited 1,290 times in 867 Documents Cited by ▼ Year ▼ Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains. Zbl 1239.35002Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido 277 2010 Existence and multiplicity results for a semilinear elliptic eigenvalue problem. Zbl 0662.35045Clément, Philippe; Sweers, Guido 67 1987 Existence of solutions to a semilinear elliptic system trough Orlicz-Sobolev spaces. Zbl 1167.35352de Pagter, Ben; Clémente, Philippe; Sweers, Guido; de Thélin, François 63 2004 Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions. Zbl 0892.35031Grunau, Hans-Christoph; Sweers, Guido 58 1997 Strong positivity in \(C(\bar\Omega)\) for elliptic systems. Zbl 0727.35045Sweers, Guido 54 1992 Estimates for Green function and Poisson kernels of higher-order Dirichlet boundary value problems. Zbl 1154.35338Dall’Acqua, Anna; Sweers, Guido 39 2004 A hinged plate equation and iterated Dirichlet Laplace operator on domains with concave corners. Zbl 1108.35043Nazarov, Sergueï A.; Sweers, Guido 33 2007 Weakly coupled elliptic systems and positivity. Zbl 0834.35041Mitidieri, Enzo; Sweers, Guido 31 1995 Positivity for perturbations of polyharmonic operators with Dirichlet boundary conditions in two dimensions. Zbl 0863.35016Grunau, Hans-Christoph; Sweers, Guido 30 1996 On the existence of a maximal weak solution for a semilinear elliptic equation. Zbl 0732.35027Dancer, E. N.; Sweers, G. 27 1989 On positivity for the biharmonic operator under Steklov boundary conditions. Zbl 1155.35019Gazzola, Filippo; Sweers, Guido 26 2008 A positive solution on \(\mathbb{R}^N\) to a system of elliptic equations of FitzHugh-Nagumo type. Zbl 0929.35042Reinecke, Carolus; Sweers, Guido 26 1999 A survey on boundary conditions for the biharmonic. Zbl 1171.35034Sweers, Guido 24 2009 The maximum principle and positive principal eigenfunctions for polyharmonic equations. Zbl 0988.35039Grunau, Hans-Christoph; Sweers, Guido 23 1998 Positivity for a strongly coupled elliptic system by Green function estimates. Zbl 0792.35048Sweers, Guido 22 1994 Optimal Sobolev and Hardy-Rellich constants under Navier boundary conditions. Zbl 1202.46038Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido 19 2010 Non-existence theorems for systems of quasilinear partial differential equations. Zbl 0833.35043Mitidieri, Enzo; Sweers, Guido; van der Vorst, Rob 19 1995 Uniform anti-maximum principles. Zbl 0964.35033Clément, Ph.; Sweers, G. 17 2000 On the bifurcation curve for an elliptic system of FitzHugh-Nagumo type. Zbl 1082.35068Sweers, Guido; Troy, William C. 17 2003 The existence of the principal eigenvalue for cooperative elliptic systems in a general domain. Zbl 0940.35147Birindelli, I.; Mitidieri, E.; Sweers, G. 17 1999 When is the first eigenfunction for the clamped plate equation of fixed sign? Zbl 0963.35049Sweers, Guido 14 2001 A strong maximum principle for a noncooperative elliptic system. Zbl 0682.35016Sweers, Guido 14 1989 Getting a solution between sub- and supersolutions without monotone iteration. Zbl 0687.35037Clément, Philippe; Sweers, Guido 13 1987 Sign change for the Green function and for the first eigenfunction of equations of clamped-plate type. Zbl 0973.74044Grunau, Hans-Christoph; Sweers, Guido 13 1999 Sharp estimates for iterated Green functions. Zbl 1115.35009Grunau, H.-Ch.; Sweers, G. 13 2002 \(L^ n\) is sharp for the anti-maximum principle. Zbl 0885.35016Sweers, Guido 12 1997 Positivity properties of elliptic boundary value problems of higher order. Zbl 0894.35016Grunau, Hans-Christoph; Sweers, Guido 12 1997 On ‘anti’-eigenvalues for elliptic systems and a question of McKenna and Walter. Zbl 1037.35047Kawohl, Bernd; Sweers, Guido 12 2002 The clamped-plate equation for the Limac con. Zbl 1223.35145Dall’Acqua, Anna; Sweers, Guido 11 2005 Positivity results for a nonlocal elliptic equation. Zbl 0909.35040Freitas, Pedro; Sweers, Guido 11 1998 Remarks on eigenvalues and eigenfunctions of a special elliptic system. Zbl 0644.35073Kawohl, Bernhard; Sweers, Guido 10 1987 On the maximum of solutions for a semilinear elliptic problem. Zbl 0681.35013Sweers, Guido 10 1988 Solutions with internal jump for an autonomous elliptic system of FitzHugh-Nagumo type. Zbl 1118.35009Reinecke, Carolus; Sweers, Guido 10 2003 Existence and uniqueness of solutions on bounded domains to a FitzHugh-Nagumo type elliptic system. Zbl 1066.35069Reinecke, Carolus; Sweers, Guido 10 2001 Optimal estimates from below for biharmonic Green functions. Zbl 1220.35027Grunau, Hans-Christoph; Robert, Frédéric; Sweers, Guido 9 2011 Uniform anti-maximum principle for polyharmonic boundary value problems. Zbl 0959.35044Clément, Philippe; Sweers, Guido 9 2001 In any dimension a “clamped plate” with a uniform weight may change sign. Zbl 1285.35019Grunau, Hans-Christoph; Sweers, Guido 9 2014 Hinged and supported plates with corners. Zbl 1325.74093Nazarov, Sergey A.; Stylianou, Athanasios; Sweers, Guido 9 2012 Classical solutions for some higher order semilinear elliptic equations under weak growth conditions. Zbl 0867.35031Grunau, Hans-Christoph; Sweers, Guido 9 1997 Separating positivity and regularity for fourth order Dirichlet problem in 2d-domains. Zbl 1330.35118Dall’Acqua, Anna; Meister, Christian; Sweers, Guido 9 2005 Homogenization of a thin plate reinforced with periodic families of rigid rods. Zbl 1415.74044Nazarov, S. A.; Sweers, G. H.; Slutskij, A. S. 8 2011 A boundary layer solution to a semilinear elliptic system of FitzHugh-Nagumo type. Zbl 0931.35046Reinecke, Carolus; Sweers, Guido 8 1999 A clamped plate with a uniform weight may change sign. Zbl 1286.35096Grunau, Hans-Christoph; Sweers, Guido 7 2014 Existence of a maximal solution for quasimonotone elliptic systems. Zbl 0809.35027Mitidieri, Enzo; Sweers, Guido 7 1994 Regions of positivity for polyharmonic Green functions in arbitrary domains. Zbl 1189.35057Grunau, Hans-Christoph; Sweers, Guido 7 2007 No Gidas-Ni-Nirenberg type result for semilinear biharmonic problems. Zbl 1158.35314Sweers, G. 7 2002 Corners give problems when decoupling fourth order equations into second order systems. Zbl 1260.35040Gerasimov, Tymofiy; Stylianou, Athanasios; Sweers, Guido 6 2012 Hopf’s lemma and two dimensional domains with corners. Zbl 0892.35032Sweers, Guido 6 1996 Optimal conditions for anti-maximum principles. Zbl 1072.35066Sweers, Guido; Grunau, Hans-Christoph 6 2001 Among all two-dimensional convex domains the disk is not optimal for the lifetime of a conditioned Brownian motion. Zbl 1016.60073Kawohl, Bernd; Sweers, Guido 6 2002 An elementary proof that the triharmonic Green function of an eccentric ellipse changes sign. Zbl 1347.35094Sweers, Guido 6 2016 On domains for which the clamped plate system is positivity preserving. Zbl 1080.35017Dall’Acqua, A.; Sweers, G. 6 2004 The role of positive boundary data in generalized clamped plate equations. Zbl 0905.35019Grunau, Hans-Christoph; Sweers, Guido 5 1998 On a conditioned Brownian motion and a maximum principle on the disk. Zbl 1077.60059Dall’Acqua, A.; Grunau, H.-C.; Sweers, G. H. 5 2004 Solving the biharmonic Dirichlet problem on domains with corners. Zbl 1325.74090De Coster, Colette; Nicaise, Serge; Sweers, Guido 5 2015 On the invertibility of mappings arising in 2D grid generation problems. Zbl 0856.65131Clément, Ph.; Hagmeijer, R.; Sweers, G. 5 1996 A biharmonic converse to Krein-Rutman: a maximum principle near a positive eigenfunction. Zbl 1441.35082Schnieders, Inka; Sweers, Guido 5 2020 On the differential equation \(u_{xxxx} + u_{yyyy} = f\) for an anisotropic stiff material. Zbl 1105.35126Kawohl, B.; Sweers, G. 5 2006 Comparing hinged and supported rectangular plates. Zbl 1420.74007Stylianou, Athanasios; Sweers, Guido 4 2010 A counterexample with convex domain to a conjecture of De Saint Venant. Zbl 0693.73005Sweers, Guido 4 1989 Semilinear elliptic problems on domains with corners. Zbl 0702.35097Sweers, Guido 4 1989 A sign-changing global minimizer on a convex domain. Zbl 0789.35066Sweers, G. 4 1992 Positivity for a hinged convex plate with stress. Zbl 1391.35132Sweers, Guido; Vassi, Katerina 4 2018 Spectra of two-dimensional models for thin plates with sharp edges. Zbl 1304.74040Campbell, A.; Nazarov, S. A.; Sweers, G. H. 3 2010 Positivity for a noncooperative system of elliptic equations in \({\mathbb{R}}^N\). Zbl 0947.35050Stavrakakis, Nikos; Sweers, Guido 3 1999 Positivity for the Navier bilaplace, an anti-eigenvalue and an expected lifetime. Zbl 1286.35098Sweers, Guido 3 2014 Korn inequalities for a reinforced plate. Zbl 1327.74097Nazarov, Sergey A.; Slutskij, Andrey S.; Sweers, Guido H. 3 2012 Hopf’s boundary point lemma, the Krein-Rutman theorem and a special domain. Zbl 1298.35047Beygmohammadi, Maryam; Sweers, Guido 3 2014 Point interactions on bounded domains. Zbl 0807.35054Caspers, Wim; Sweers, Guido 3 1994 Existence et multiplicité des solutions d’un problème aux valeurs propres elliptique semilinéaire. (Existence and multiplicity of solutions to a semilinear elliptic eigenvalue problem). Zbl 0606.35035Clément, Philippe; Sweers, Guido 2 1986 Some results for a semilinear elliptic problem with a large parameter. Zbl 0647.35067Sweers, G. 2 1987 On sign preservation for clotheslines, curtain rods, elastic membranes and thin plates. Zbl 1358.35025Sweers, Guido 2 2016 Correction to: An elementary proof that the triharmonic Green function of an eccentric ellipse changes sign. Zbl 1408.35017Sweers, Guido 2 2019 Estimates for the expected lifetime of conditioned Brownian motion. Zbl 1133.60347van den Berg, M.; Dall’ Acqua, A.; Sweers, G. H. 2 2007 On the lifetime of a conditioned Brownian motion on a fish bowl. Zbl 1139.58027Erven, M.; Sweers, G. 2 2008 On quasiconvexity, rank-one convexity and symmetry. Zbl 0722.49023Kawohl, Bernhard; Sweers, Guido 2 1990 On the nonexistence of some special eigenfunctions for the Dirichlet Laplacian and the Lamé system. Zbl 0934.74010Sweers, Guido; Zuazua, Enrique 2 1999 An asymptotic eigenvalue problem for a Schrödinger type equation on domains with boundaries. Zbl 1359.35119Reyes, Carlos Andrés; Sweers, Guido 2 2016 Differences between fundamental solutions of general higher order elliptic operators and of products of second order operators. Zbl 1485.35002Grunau, Hans-Christoph; Romani, Giulio; Sweers, Guido 2 2021 On examples to a conjecture of de Saint Venant. Zbl 0794.73027Sweers, Guido 1 1992 The flexural rigidity of a thin plate reinforced with periodic systems of separated rods. Zbl 1272.74409Nazarov, S. A.; Sweers, G. H.; Slutskij, A. S. 1 2010 Asymptotically sharp weight korn’s inequality for thin-walled elastic structures. Zbl 1202.74061Izotova, O. V.; Nazarov, S. A.; Sweers, G. H. 1 2008 More on the potential for the farthest-point distance function. Zbl 1319.31008Kawohl, Bernd; Nitsch, Carlo; Sweers, Guido 1 2015 Note on a sign-dependent regularity for the polyharmonic Dirichlet problem. Zbl 1464.35094Schnieders, Inka; Sweers, Guido 1 2021 Classical solutions up to the boundary to some higher order semilinear Dirichlet problems. Zbl 1466.35122Schnieders, Inka; Sweers, Guido 1 2021 A maximum principle for a fourth-order Dirichlet problem on smooth domains. Zbl 1467.35074Schnieders, Inka; Sweers, Guido 1 2020 Bilaplace eigenfunctions compared with Laplace eigenfunctions in some special cases. Zbl 1440.35224Sweers, Guido 1 2019 On the lifetime of a conditioned Brownian motion in domains connected through small gaps. Zbl 1326.60118Erven, Matthias; Sweers, Guido 1 2015 Comparing variational methods for the hinged Kirchhoff plate with corners. Zbl 1439.35158De Coster, Colette; Nicaise, Serge; Sweers, Guido 1 2019 Partial differential equations and functional analysis. The Philippe Clément Festschrift. Based on the workshop, Delft, Netherlands, November 29–December 1, 2004 dedicated to Philippe Clément on the occasion of his retirement in December 2004. Zbl 1096.00007de Pagter, Ben 1 2006 A comparison result for perturbed radial \(p\)-Laplacians. Zbl 1073.35089Manásevich, Raul; Sweers, Guido 1 2004 A noncooperative elliptic system with \(p\)-Laplacians that preserves positivity. Zbl 0933.35055Manásevich, Raúl; Sweers, Guido 1 1999 Nonexistence of local minima of supersolutions for the circular clamped plate. Zbl 1063.35044Grunau, Hans-Christoph; Sweers, Guido 1 2001 Differences between fundamental solutions of general higher order elliptic operators and of products of second order operators. Zbl 1485.35002Grunau, Hans-Christoph; Romani, Giulio; Sweers, Guido 2 2021 Note on a sign-dependent regularity for the polyharmonic Dirichlet problem. Zbl 1464.35094Schnieders, Inka; Sweers, Guido 1 2021 Classical solutions up to the boundary to some higher order semilinear Dirichlet problems. Zbl 1466.35122Schnieders, Inka; Sweers, Guido 1 2021 A biharmonic converse to Krein-Rutman: a maximum principle near a positive eigenfunction. Zbl 1441.35082Schnieders, Inka; Sweers, Guido 5 2020 A maximum principle for a fourth-order Dirichlet problem on smooth domains. Zbl 1467.35074Schnieders, Inka; Sweers, Guido 1 2020 Correction to: An elementary proof that the triharmonic Green function of an eccentric ellipse changes sign. Zbl 1408.35017Sweers, Guido 2 2019 Bilaplace eigenfunctions compared with Laplace eigenfunctions in some special cases. Zbl 1440.35224Sweers, Guido 1 2019 Comparing variational methods for the hinged Kirchhoff plate with corners. Zbl 1439.35158De Coster, Colette; Nicaise, Serge; Sweers, Guido 1 2019 Positivity for a hinged convex plate with stress. Zbl 1391.35132Sweers, Guido; Vassi, Katerina 4 2018 An elementary proof that the triharmonic Green function of an eccentric ellipse changes sign. Zbl 1347.35094Sweers, Guido 6 2016 On sign preservation for clotheslines, curtain rods, elastic membranes and thin plates. Zbl 1358.35025Sweers, Guido 2 2016 An asymptotic eigenvalue problem for a Schrödinger type equation on domains with boundaries. Zbl 1359.35119Reyes, Carlos Andrés; Sweers, Guido 2 2016 Solving the biharmonic Dirichlet problem on domains with corners. Zbl 1325.74090De Coster, Colette; Nicaise, Serge; Sweers, Guido 5 2015 More on the potential for the farthest-point distance function. Zbl 1319.31008Kawohl, Bernd; Nitsch, Carlo; Sweers, Guido 1 2015 On the lifetime of a conditioned Brownian motion in domains connected through small gaps. Zbl 1326.60118Erven, Matthias; Sweers, Guido 1 2015 In any dimension a “clamped plate” with a uniform weight may change sign. Zbl 1285.35019Grunau, Hans-Christoph; Sweers, Guido 9 2014 A clamped plate with a uniform weight may change sign. Zbl 1286.35096Grunau, Hans-Christoph; Sweers, Guido 7 2014 Positivity for the Navier bilaplace, an anti-eigenvalue and an expected lifetime. Zbl 1286.35098Sweers, Guido 3 2014 Hopf’s boundary point lemma, the Krein-Rutman theorem and a special domain. Zbl 1298.35047Beygmohammadi, Maryam; Sweers, Guido 3 2014 Hinged and supported plates with corners. Zbl 1325.74093Nazarov, Sergey A.; Stylianou, Athanasios; Sweers, Guido 9 2012 Corners give problems when decoupling fourth order equations into second order systems. Zbl 1260.35040Gerasimov, Tymofiy; Stylianou, Athanasios; Sweers, Guido 6 2012 Korn inequalities for a reinforced plate. Zbl 1327.74097Nazarov, Sergey A.; Slutskij, Andrey S.; Sweers, Guido H. 3 2012 Optimal estimates from below for biharmonic Green functions. Zbl 1220.35027Grunau, Hans-Christoph; Robert, Frédéric; Sweers, Guido 9 2011 Homogenization of a thin plate reinforced with periodic families of rigid rods. Zbl 1415.74044Nazarov, S. A.; Sweers, G. H.; Slutskij, A. S. 8 2011 Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains. Zbl 1239.35002Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido 277 2010 Optimal Sobolev and Hardy-Rellich constants under Navier boundary conditions. Zbl 1202.46038Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido 19 2010 Comparing hinged and supported rectangular plates. Zbl 1420.74007Stylianou, Athanasios; Sweers, Guido 4 2010 Spectra of two-dimensional models for thin plates with sharp edges. Zbl 1304.74040Campbell, A.; Nazarov, S. A.; Sweers, G. H. 3 2010 The flexural rigidity of a thin plate reinforced with periodic systems of separated rods. Zbl 1272.74409Nazarov, S. A.; Sweers, G. H.; Slutskij, A. S. 1 2010 A survey on boundary conditions for the biharmonic. Zbl 1171.35034Sweers, Guido 24 2009 On positivity for the biharmonic operator under Steklov boundary conditions. Zbl 1155.35019Gazzola, Filippo; Sweers, Guido 26 2008 On the lifetime of a conditioned Brownian motion on a fish bowl. Zbl 1139.58027Erven, M.; Sweers, G. 2 2008 Asymptotically sharp weight korn’s inequality for thin-walled elastic structures. Zbl 1202.74061Izotova, O. V.; Nazarov, S. A.; Sweers, G. H. 1 2008 A hinged plate equation and iterated Dirichlet Laplace operator on domains with concave corners. Zbl 1108.35043Nazarov, Sergueï A.; Sweers, Guido 33 2007 Regions of positivity for polyharmonic Green functions in arbitrary domains. Zbl 1189.35057Grunau, Hans-Christoph; Sweers, Guido 7 2007 Estimates for the expected lifetime of conditioned Brownian motion. Zbl 1133.60347van den Berg, M.; Dall’ Acqua, A.; Sweers, G. H. 2 2007 On the differential equation \(u_{xxxx} + u_{yyyy} = f\) for an anisotropic stiff material. Zbl 1105.35126Kawohl, B.; Sweers, G. 5 2006 Partial differential equations and functional analysis. The Philippe Clément Festschrift. Based on the workshop, Delft, Netherlands, November 29–December 1, 2004 dedicated to Philippe Clément on the occasion of his retirement in December 2004. Zbl 1096.00007de Pagter, Ben 1 2006 The clamped-plate equation for the Limac con. Zbl 1223.35145Dall’Acqua, Anna; Sweers, Guido 11 2005 Separating positivity and regularity for fourth order Dirichlet problem in 2d-domains. Zbl 1330.35118Dall’Acqua, Anna; Meister, Christian; Sweers, Guido 9 2005 Existence of solutions to a semilinear elliptic system trough Orlicz-Sobolev spaces. Zbl 1167.35352de Pagter, Ben; Clémente, Philippe; Sweers, Guido; de Thélin, François 63 2004 Estimates for Green function and Poisson kernels of higher-order Dirichlet boundary value problems. Zbl 1154.35338Dall’Acqua, Anna; Sweers, Guido 39 2004 On domains for which the clamped plate system is positivity preserving. Zbl 1080.35017Dall’Acqua, A.; Sweers, G. 6 2004 On a conditioned Brownian motion and a maximum principle on the disk. Zbl 1077.60059Dall’Acqua, A.; Grunau, H.-C.; Sweers, G. H. 5 2004 A comparison result for perturbed radial \(p\)-Laplacians. Zbl 1073.35089Manásevich, Raul; Sweers, Guido 1 2004 On the bifurcation curve for an elliptic system of FitzHugh-Nagumo type. Zbl 1082.35068Sweers, Guido; Troy, William C. 17 2003 Solutions with internal jump for an autonomous elliptic system of FitzHugh-Nagumo type. Zbl 1118.35009Reinecke, Carolus; Sweers, Guido 10 2003 Sharp estimates for iterated Green functions. Zbl 1115.35009Grunau, H.-Ch.; Sweers, G. 13 2002 On ‘anti’-eigenvalues for elliptic systems and a question of McKenna and Walter. Zbl 1037.35047Kawohl, Bernd; Sweers, Guido 12 2002 No Gidas-Ni-Nirenberg type result for semilinear biharmonic problems. Zbl 1158.35314Sweers, G. 7 2002 Among all two-dimensional convex domains the disk is not optimal for the lifetime of a conditioned Brownian motion. Zbl 1016.60073Kawohl, Bernd; Sweers, Guido 6 2002 When is the first eigenfunction for the clamped plate equation of fixed sign? Zbl 0963.35049Sweers, Guido 14 2001 Existence and uniqueness of solutions on bounded domains to a FitzHugh-Nagumo type elliptic system. Zbl 1066.35069Reinecke, Carolus; Sweers, Guido 10 2001 Uniform anti-maximum principle for polyharmonic boundary value problems. Zbl 0959.35044Clément, Philippe; Sweers, Guido 9 2001 Optimal conditions for anti-maximum principles. Zbl 1072.35066Sweers, Guido; Grunau, Hans-Christoph 6 2001 Nonexistence of local minima of supersolutions for the circular clamped plate. Zbl 1063.35044Grunau, Hans-Christoph; Sweers, Guido 1 2001 Uniform anti-maximum principles. Zbl 0964.35033Clément, Ph.; Sweers, G. 17 2000 A positive solution on \(\mathbb{R}^N\) to a system of elliptic equations of FitzHugh-Nagumo type. Zbl 0929.35042Reinecke, Carolus; Sweers, Guido 26 1999 The existence of the principal eigenvalue for cooperative elliptic systems in a general domain. Zbl 0940.35147Birindelli, I.; Mitidieri, E.; Sweers, G. 17 1999 Sign change for the Green function and for the first eigenfunction of equations of clamped-plate type. Zbl 0973.74044Grunau, Hans-Christoph; Sweers, Guido 13 1999 A boundary layer solution to a semilinear elliptic system of FitzHugh-Nagumo type. Zbl 0931.35046Reinecke, Carolus; Sweers, Guido 8 1999 Positivity for a noncooperative system of elliptic equations in \({\mathbb{R}}^N\). Zbl 0947.35050Stavrakakis, Nikos; Sweers, Guido 3 1999 On the nonexistence of some special eigenfunctions for the Dirichlet Laplacian and the Lamé system. Zbl 0934.74010Sweers, Guido; Zuazua, Enrique 2 1999 A noncooperative elliptic system with \(p\)-Laplacians that preserves positivity. Zbl 0933.35055Manásevich, Raúl; Sweers, Guido 1 1999 The maximum principle and positive principal eigenfunctions for polyharmonic equations. Zbl 0988.35039Grunau, Hans-Christoph; Sweers, Guido 23 1998 Positivity results for a nonlocal elliptic equation. Zbl 0909.35040Freitas, Pedro; Sweers, Guido 11 1998 The role of positive boundary data in generalized clamped plate equations. Zbl 0905.35019Grunau, Hans-Christoph; Sweers, Guido 5 1998 Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions. Zbl 0892.35031Grunau, Hans-Christoph; Sweers, Guido 58 1997 \(L^ n\) is sharp for the anti-maximum principle. Zbl 0885.35016Sweers, Guido 12 1997 Positivity properties of elliptic boundary value problems of higher order. Zbl 0894.35016Grunau, Hans-Christoph; Sweers, Guido 12 1997 Classical solutions for some higher order semilinear elliptic equations under weak growth conditions. Zbl 0867.35031Grunau, Hans-Christoph; Sweers, Guido 9 1997 Positivity for perturbations of polyharmonic operators with Dirichlet boundary conditions in two dimensions. Zbl 0863.35016Grunau, Hans-Christoph; Sweers, Guido 30 1996 Hopf’s lemma and two dimensional domains with corners. Zbl 0892.35032Sweers, Guido 6 1996 On the invertibility of mappings arising in 2D grid generation problems. Zbl 0856.65131Clément, Ph.; Hagmeijer, R.; Sweers, G. 5 1996 Weakly coupled elliptic systems and positivity. Zbl 0834.35041Mitidieri, Enzo; Sweers, Guido 31 1995 Non-existence theorems for systems of quasilinear partial differential equations. Zbl 0833.35043Mitidieri, Enzo; Sweers, Guido; van der Vorst, Rob 19 1995 Positivity for a strongly coupled elliptic system by Green function estimates. Zbl 0792.35048Sweers, Guido 22 1994 Existence of a maximal solution for quasimonotone elliptic systems. Zbl 0809.35027Mitidieri, Enzo; Sweers, Guido 7 1994 Point interactions on bounded domains. Zbl 0807.35054Caspers, Wim; Sweers, Guido 3 1994 Strong positivity in \(C(\bar\Omega)\) for elliptic systems. Zbl 0727.35045Sweers, Guido 54 1992 A sign-changing global minimizer on a convex domain. Zbl 0789.35066Sweers, G. 4 1992 On examples to a conjecture of de Saint Venant. Zbl 0794.73027Sweers, Guido 1 1992 On quasiconvexity, rank-one convexity and symmetry. Zbl 0722.49023Kawohl, Bernhard; Sweers, Guido 2 1990 On the existence of a maximal weak solution for a semilinear elliptic equation. Zbl 0732.35027Dancer, E. N.; Sweers, G. 27 1989 A strong maximum principle for a noncooperative elliptic system. Zbl 0682.35016Sweers, Guido 14 1989 A counterexample with convex domain to a conjecture of De Saint Venant. Zbl 0693.73005Sweers, Guido 4 1989 Semilinear elliptic problems on domains with corners. Zbl 0702.35097Sweers, Guido 4 1989 On the maximum of solutions for a semilinear elliptic problem. Zbl 0681.35013Sweers, Guido 10 1988 Existence and multiplicity results for a semilinear elliptic eigenvalue problem. Zbl 0662.35045Clément, Philippe; Sweers, Guido 67 1987 Getting a solution between sub- and supersolutions without monotone iteration. Zbl 0687.35037Clément, Philippe; Sweers, Guido 13 1987 Remarks on eigenvalues and eigenfunctions of a special elliptic system. Zbl 0644.35073Kawohl, Bernhard; Sweers, Guido 10 1987 Some results for a semilinear elliptic problem with a large parameter. Zbl 0647.35067Sweers, G. 2 1987 Existence et multiplicité des solutions d’un problème aux valeurs propres elliptique semilinéaire. (Existence and multiplicity of solutions to a semilinear elliptic eigenvalue problem). Zbl 0606.35035Clément, Philippe; Sweers, Guido 2 1986 all cited Publications top 5 cited Publications all top 5 Cited by 1,031 Authors 50 Sweers, Guido H. 22 Gazzola, Filippo 19 Grunau, Hans-Christoph 18 Nazarov, Sergeĭ Aleksandrovich 15 Dancer, Edward Norman 14 Karachik, Valeriĭ Valentinovich 13 Mihăilescu, Mihai 12 Chen, Chaonien 11 Rădulescu, Vicenţiu D. 10 Buoso, Davide 10 Guo, Zongming 10 Shivaji, Ratnasingham 9 Berchio, Elvise 9 Guo, Yuxia 8 Ferrero, Alberto 8 Lamberti, Pier Domenico 8 Mitidieri, Enzo Luigi 8 Wei, Juncheng 7 Dall’Acqua, Anna 7 Drábek, Pavel 7 Figueiredo, Giovany Malcher 7 García-Melián, Jorge 7 Glück, Jochen 7 Matevosyan, Hovik A. 7 Yan, Shusen 7 Yang, Zuodong 6 Cianchi, Andrea 6 Clément, Philippe J. E. 6 Kozlov, Vladimir A. 6 Musina, Roberta 6 Provenzano, Luigi 6 Saldaña, Alberto 6 Santra, Sanjiban 6 Weth, Tobias 5 Abatangelo, Nicola 5 Bachar, Imed 5 Carl, Siegfried 5 Chang, Kung-Ching 5 Choi, Yung-Sze 5 Sobreira de Araujo Corrêa, Francisco Julio 5 Freitas, Pedro 5 Mâagli, Habib 5 Moreira dos Santos, Ederson 5 Nicaise, Serge 5 Suárez, Antonio 5 Turmetov, Batirkhan Khudaybergenovich 4 Afrouzi, Ghasem Alizadeh 4 Bonanno, Gabriele 4 Cassani, Daniele 4 Castro, Alfonso 4 Chasman, Laura Mercredi 4 Colasuonno, Francesca 4 Da Silva, Edcarlos Domingos 4 D’Ambrosio, Lorenzo 4 Daners, Daniel 4 De Coster, Colette 4 Delgado, Manuel 4 Dipierro, Serena 4 Du, Yihong 4 Ghergu, Marius 4 Ghosh, Tuhin 4 Abreu Goncalves, Jose Valdo 4 Jannelli, Enrico 4 Kawohl, Bernd 4 Laurençot, Philippe 4 Le, Vy Khoi 4 Liu, Ting 4 Lu, Qishao 4 Ma, Ruyun 4 Mayboroda, Svitlana 4 Molica Bisci, Giovanni 4 Montenegro, Marcos 4 Müller, Marius 4 Reichel, Wolfgang 4 Sabina-de-Lis, José Claudio 4 Schiera, Delia 4 Schnieders, Inka 4 Shi, Junping 4 Shokooh, Saeid 4 Srati, Mohammed 4 Tarboush, Abdelrazig K. 4 Walker, Christoph 4 Zegeling, Paul Andries 3 Alves, Claudianor Oliveira 3 Arioli, Gianni 3 Arrieta, José M. 3 Azroul, Elhoussine 3 Bakharev, Fedor L’vovich 3 Bartolucci, Daniele 3 Barton, Ariel E. 3 Benkirane, Abdelmoujib 3 Benrabah, Abderafik 3 Bhattacharyya, Sombuddha 3 Biswas, Anup 3 Bocea, Marian F. 3 Bojadziev, Georgi N. 3 Bonheure, Denis 3 Boulaaras, Salah Mahmoud 3 Bucur, Dorin 3 Caldiroli, Paolo ...and 931 more Authors all top 5 Cited in 233 Serials 64 Journal of Differential Equations 52 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 41 Journal of Mathematical Analysis and Applications 29 Calculus of Variations and Partial Differential Equations 20 Proceedings of the American Mathematical Society 17 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Discrete and Continuous Dynamical Systems 14 Nonlinear Analysis. Theory, Methods & Applications 12 Journal of Functional Analysis 12 Journal of Mathematical Sciences (New York) 12 Communications on Pure and Applied Analysis 11 Transactions of the American Mathematical Society 11 Boundary Value Problems 11 Complex Variables and Elliptic Equations 10 Applicable Analysis 10 Communications in Partial Differential Equations 10 Communications in Contemporary Mathematics 9 SIAM Journal on Mathematical Analysis 9 Nonlinear Analysis. Real World Applications 8 Archive for Rational Mechanics and Analysis 8 Journal d’Analyse Mathématique 8 Advances in Mathematics 8 Mathematische Nachrichten 8 NoDEA. Nonlinear Differential Equations and Applications 7 Applied Mathematics and Computation 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Applied Mathematics Letters 7 The Journal of Geometric Analysis 7 Topological Methods in Nonlinear Analysis 7 Abstract and Applied Analysis 7 Milan Journal of Mathematics 6 Mathematical Methods in the Applied Sciences 6 Archiv der Mathematik 6 Integral Equations and Operator Theory 6 Mathematische Annalen 6 Positivity 6 Discrete and Continuous Dynamical Systems. Series B 6 Advanced Nonlinear Studies 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Discrete and Continuous Dynamical Systems. Series S 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 5 Mathematische Zeitschrift 5 Monatshefte für Mathematik 5 Physica D 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 SIAM Journal on Applied Mathematics 5 Potential Analysis 5 Differential Equations 4 Computers & Mathematics with Applications 4 Rocky Mountain Journal of Mathematics 4 Applied Mathematics and Optimization 4 Journal für die Reine und Angewandte Mathematik 4 Journal of Scientific Computing 4 Computational Mathematics and Mathematical Physics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Acta Mathematica Sinica. English Series 4 Lobachevskii Journal of Mathematics 4 Analysis and Applications (Singapore) 4 Mediterranean Journal of Mathematics 4 Journal of Fixed Point Theory and Applications 3 Journal of Computational and Applied Mathematics 3 Manuscripta Mathematica 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Acta Applicandae Mathematicae 3 Applied Mathematical Modelling 3 Journal of Nonlinear Science 3 Russian Journal of Mathematical Physics 3 Complexity 3 Journal of Inequalities and Applications 3 Revista Matemática Complutense 3 Journal of Mathematical Fluid Mechanics 3 Communications in Nonlinear Science and Numerical Simulation 3 Inverse Problems and Imaging 3 SIAM Journal on Imaging Sciences 3 Analysis & PDE 3 Advances in Pure and Applied Mathematics 3 Advances in Nonlinear Analysis 3 Journal of Elliptic and Parabolic Equations 3 Mathematics in Engineering 2 Bulletin of the Australian Mathematical Society 2 Classical and Quantum Gravity 2 Communications in Mathematical Physics 2 Computer Methods in Applied Mechanics and Engineering 2 Israel Journal of Mathematics 2 Journal of Mathematical Biology 2 Journal of Mathematical Physics 2 Mathematical Notes 2 The Annals of Probability 2 Duke Mathematical Journal 2 Rendiconti del Circolo Matemàtico di Palermo. 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Serie VII 2 Acta Mathematica Hungarica 2 Mathematical and Computer Modelling 2 Journal of Elasticity 2 Journal of Dynamics and Differential Equations 2 SIAM Journal on Scientific Computing 2 Georgian Mathematical Journal ...and 133 more Serials all top 5 Cited in 37 Fields 739 Partial differential equations (35-XX) 115 Potential theory (31-XX) 85 Mechanics of deformable solids (74-XX) 73 Operator theory (47-XX) 53 Functional analysis (46-XX) 50 Numerical analysis (65-XX) 48 Global analysis, analysis on manifolds (58-XX) 47 Ordinary differential equations (34-XX) 47 Calculus of variations and optimal control; optimization (49-XX) 39 Biology and other natural sciences (92-XX) 26 Real functions (26-XX) 24 Probability theory and stochastic processes (60-XX) 23 Fluid mechanics (76-XX) 22 Differential geometry (53-XX) 12 Integral equations (45-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 6 Functions of a complex variable (30-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Optics, electromagnetic theory (78-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Systems theory; control (93-XX) 5 Quantum theory (81-XX) 4 Special functions (33-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Approximations and expansions (41-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) Citations by Year