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Author ID: sweers.guido-h Recent zbMATH articles by "Sweers, Guido H."
Published as: Sweers, Guido; Sweers, G.; Sweers, G. H.; Sweers, Guido H.
External Links: MGP
Documents Indexed: 111 Publications since 1986, including 1 Book
1 Contribution as Editor
Reviewing Activity: 57 Reviews
Co-Authors: 44 Co-Authors with 90 Joint Publications
1,200 Co-Co-Authors
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 The Journal of Geometric Analysis
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 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

Publications by Year

Citations contained in zbMATH Open

95 Publications have been cited 1,556 times in 1,067 Documents Cited by Year
Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains. Zbl 1239.35002
Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido
411
2010
Strong positivity in \(C(\bar\Omega)\) for elliptic systems. Zbl 0727.35045
Sweers, Guido
88
1992
Existence and multiplicity results for a semilinear elliptic eigenvalue problem. Zbl 0662.35045
Clément, Philippe; Sweers, Guido
73
1987
Existence of solutions to a semilinear elliptic system trough Orlicz-Sobolev spaces. Zbl 1167.35352
de Pagter, Ben; Clémente, Philippe; Sweers, Guido; de Thélin, François
68
2004
Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions. Zbl 0892.35031
Grunau, Hans-Christoph; Sweers, Guido
67
1997
Estimates for Green function and Poisson kernels of higher-order Dirichlet boundary value problems. Zbl 1154.35338
Dall’Acqua, Anna; Sweers, Guido
41
2004
A hinged plate equation and iterated Dirichlet Laplace operator on domains with concave corners. Zbl 1108.35043
Nazarov, Sergueï A.; Sweers, Guido
39
2007
Weakly coupled elliptic systems and positivity. Zbl 0834.35041
Mitidieri, Enzo; Sweers, Guido
36
1995
A survey on boundary conditions for the biharmonic. Zbl 1171.35034
Sweers, Guido
34
2009
Positivity for perturbations of polyharmonic operators with Dirichlet boundary conditions in two dimensions. Zbl 0863.35016
Grunau, Hans-Christoph; Sweers, Guido
31
1996
On positivity for the biharmonic operator under Steklov boundary conditions. Zbl 1155.35019
Gazzola, Filippo; Sweers, Guido
29
2008
The maximum principle and positive principal eigenfunctions for polyharmonic equations. Zbl 0988.35039
Grunau, Hans-Christoph; Sweers, Guido
28
1998
On the existence of a maximal weak solution for a semilinear elliptic equation. Zbl 0732.35027
Dancer, E. N.; Sweers, G.
28
1989
A positive solution on \(\mathbb{R}^N\) to a system of elliptic equations of FitzHugh-Nagumo type. Zbl 0929.35042
Reinecke, Carolus; Sweers, Guido
27
1999
Positivity for a strongly coupled elliptic system by Green function estimates. Zbl 0792.35048
Sweers, Guido
23
1994
Optimal Sobolev and Hardy-Rellich constants under Navier boundary conditions. Zbl 1202.46038
Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido
21
2010
On the bifurcation curve for an elliptic system of FitzHugh-Nagumo type. Zbl 1082.35068
Sweers, Guido; Troy, William C.
20
2003
The existence of the principal eigenvalue for cooperative elliptic systems in a general domain. Zbl 0940.35147
Birindelli, I.; Mitidieri, E.; Sweers, G.
19
1999
Non-existence theorems for systems of quasilinear partial differential equations. Zbl 0833.35043
Mitidieri, Enzo; Sweers, Guido; van der Vorst, Rob
19
1995
Uniform anti-maximum principles. Zbl 0964.35033
Clément, Ph.; Sweers, G.
18
2000
When is the first eigenfunction for the clamped plate equation of fixed sign? Zbl 0963.35049
Sweers, Guido
15
2001
A strong maximum principle for a noncooperative elliptic system. Zbl 0682.35016
Sweers, Guido
15
1989
On ‘anti’-eigenvalues for elliptic systems and a question of McKenna and Walter. Zbl 1037.35047
Kawohl, Bernd; Sweers, Guido
13
2002
\(L^ n\) is sharp for the anti-maximum principle. Zbl 0885.35016
Sweers, Guido
13
1997
The clamped-plate equation for the Limac con. Zbl 1223.35145
Dall’Acqua, Anna; Sweers, Guido
13
2005
Positivity properties of elliptic boundary value problems of higher order. Zbl 0894.35016
Grunau, Hans-Christoph; Sweers, Guido
13
1997
Sign change for the Green function and for the first eigenfunction of equations of clamped-plate type. Zbl 0973.74044
Grunau, Hans-Christoph; Sweers, Guido
13
1999
Sharp estimates for iterated Green functions. Zbl 1115.35009
Grunau, H.-Ch.; Sweers, G.
13
2002
Getting a solution between sub- and supersolutions without monotone iteration. Zbl 0687.35037
Clément, Philippe; Sweers, Guido
13
1987
Hinged and supported plates with corners. Zbl 1325.74093
Nazarov, Sergey A.; Stylianou, Athanasios; Sweers, Guido
12
2012
Positivity results for a nonlocal elliptic equation. Zbl 0909.35040
Freitas, Pedro; Sweers, Guido
11
1998
Homogenization of a thin plate reinforced with periodic families of rigid rods. Zbl 1415.74044
Nazarov, S. A.; Sweers, G. H.; Slutskij, A. S.
11
2011
Remarks on eigenvalues and eigenfunctions of a special elliptic system. Zbl 0644.35073
Kawohl, Bernhard; Sweers, Guido
10
1987
Solutions with internal jump for an autonomous elliptic system of FitzHugh-Nagumo type. Zbl 1118.35009
Reinecke, Carolus; Sweers, Guido
10
2003
Existence and uniqueness of solutions on bounded domains to a FitzHugh-Nagumo type elliptic system. Zbl 1066.35069
Reinecke, Carolus; Sweers, Guido
10
2001
On the maximum of solutions for a semilinear elliptic problem. Zbl 0681.35013
Sweers, Guido
10
1988
Separating positivity and regularity for fourth order Dirichlet problem in 2d-domains. Zbl 1330.35118
Dall’Acqua, Anna; Meister, Christian; Sweers, Guido
9
2005
Uniform anti-maximum principle for polyharmonic boundary value problems. Zbl 0959.35044
Clément, Philippe; Sweers, Guido
9
2001
Classical solutions for some higher order semilinear elliptic equations under weak growth conditions. Zbl 0867.35031
Grunau, Hans-Christoph; Sweers, Guido
9
1997
Optimal estimates from below for biharmonic Green functions. Zbl 1220.35027
Grunau, Hans-Christoph; Robert, Frédéric; Sweers, Guido
9
2011
In any dimension a “clamped plate” with a uniform weight may change sign. Zbl 1285.35019
Grunau, Hans-Christoph; Sweers, Guido
9
2014
No Gidas-Ni-Nirenberg type result for semilinear biharmonic problems. Zbl 1158.35314
Sweers, G.
8
2002
Hopf’s lemma and two dimensional domains with corners. Zbl 0892.35032
Sweers, Guido
8
1996
A clamped plate with a uniform weight may change sign. Zbl 1286.35096
Grunau, Hans-Christoph; Sweers, Guido
8
2014
A boundary layer solution to a semilinear elliptic system of FitzHugh-Nagumo type. Zbl 0931.35046
Reinecke, Carolus; Sweers, Guido
8
1999
Existence of a maximal solution for quasimonotone elliptic systems. Zbl 0809.35027
Mitidieri, Enzo; Sweers, Guido
7
1994
Regions of positivity for polyharmonic Green functions in arbitrary domains. Zbl 1189.35057
Grunau, Hans-Christoph; Sweers, Guido
7
2007
Solving the biharmonic Dirichlet problem on domains with corners. Zbl 1325.74090
De Coster, Colette; Nicaise, Serge; Sweers, Guido
7
2015
An elementary proof that the triharmonic Green function of an eccentric ellipse changes sign. Zbl 1347.35094
Sweers, Guido
7
2016
Among all two-dimensional convex domains the disk is not optimal for the lifetime of a conditioned Brownian motion. Zbl 1016.60073
Kawohl, Bernd; Sweers, Guido
6
2002
Optimal conditions for anti-maximum principles. Zbl 1072.35066
Sweers, Guido; Grunau, Hans-Christoph
6
2001
Corners give problems when decoupling fourth order equations into second order systems. Zbl 1260.35040
Gerasimov, Tymofiy; Stylianou, Athanasios; Sweers, Guido
6
2012
On domains for which the clamped plate system is positivity preserving. Zbl 1080.35017
Dall’Acqua, A.; Sweers, G.
6
2004
On the invertibility of mappings arising in 2D grid generation problems. Zbl 0856.65131
Clément, Ph.; Hagmeijer, R.; Sweers, G.
5
1996
On the differential equation \(u_{xxxx} + u_{yyyy} = f\) for an anisotropic stiff material. Zbl 1105.35126
Kawohl, B.; Sweers, G.
5
2006
The role of positive boundary data in generalized clamped plate equations. Zbl 0905.35019
Grunau, Hans-Christoph; Sweers, Guido
5
1998
On a conditioned Brownian motion and a maximum principle on the disk. Zbl 1077.60059
Dall’Acqua, A.; Grunau, H.-C.; Sweers, G. H.
5
2004
Spectra of two-dimensional models for thin plates with sharp edges. Zbl 1304.74040
Campbell, A.; Nazarov, S. A.; Sweers, G. H.
5
2010
A counterexample with convex domain to a conjecture of De Saint Venant. Zbl 0693.73005
Sweers, Guido
5
1989
A biharmonic converse to Krein-Rutman: a maximum principle near a positive eigenfunction. Zbl 1441.35082
Schnieders, Inka; Sweers, Guido
5
2020
A sign-changing global minimizer on a convex domain. Zbl 0789.35066
Sweers, G.
4
1992
Comparing hinged and supported rectangular plates. Zbl 1420.74007
Stylianou, Athanasios; Sweers, Guido
4
2010
On a formula for sets of constant width in 2D. Zbl 1419.52001
Kawohl, Bernd; Sweers, Guido
4
2019
Semilinear elliptic problems on domains with corners. Zbl 0702.35097
Sweers, Guido
4
1989
Positivity for a hinged convex plate with stress. Zbl 1391.35132
Sweers, Guido; Vassi, Katerina
4
2018
Point interactions on bounded domains. Zbl 0807.35054
Caspers, Wim; Sweers, Guido
3
1994
Positivity for a noncooperative system of elliptic equations in \({\mathbb{R}}^N\). Zbl 0947.35050
Stavrakakis, Nikos; Sweers, Guido
3
1999
Korn inequalities for a reinforced plate. Zbl 1327.74097
Nazarov, Sergey A.; Slutskij, Andrey S.; Sweers, Guido H.
3
2012
Hopf’s boundary point lemma, the Krein-Rutman theorem and a special domain. Zbl 1298.35047
Beygmohammadi, Maryam; Sweers, Guido
3
2014
Positivity for the Navier bilaplace, an anti-eigenvalue and an expected lifetime. Zbl 1286.35098
Sweers, Guido
3
2014
Correction to: An elementary proof that the triharmonic Green function of an eccentric ellipse changes sign. Zbl 1408.35017
Sweers, Guido
3
2019
On sign preservation for clotheslines, curtain rods, elastic membranes and thin plates. Zbl 1358.35025
Sweers, Guido
3
2016
Differences between fundamental solutions of general higher order elliptic operators and of products of second order operators. Zbl 1485.35002
Grunau, Hans-Christoph; Romani, Giulio; Sweers, Guido
3
2021
On the lifetime of a conditioned Brownian motion on a fish bowl. Zbl 1139.58027
Erven, M.; Sweers, G.
2
2008
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 1096.00007
de Pagter, Ben
2
2006
Some results for a semilinear elliptic problem with a large parameter. Zbl 0647.35067
Sweers, G.
2
1987
On the nonexistence of some special eigenfunctions for the Dirichlet Laplacian and the Lamé system. Zbl 0934.74010
Sweers, Guido; Zuazua, Enrique
2
1999
Estimates for the expected lifetime of conditioned Brownian motion. Zbl 1133.60347
van den Berg, M.; Dall’ Acqua, A.; Sweers, G. H.
2
2007
Asymptotically sharp weight korn’s inequality for thin-walled elastic structures. Zbl 1202.74061
Izotova, O. V.; Nazarov, S. A.; Sweers, G. H.
2
2008
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 0606.35035
Clément, Philippe; Sweers, Guido
2
1986
On quasiconvexity, rank-one convexity and symmetry. Zbl 0722.49023
Kawohl, Bernhard; Sweers, Guido
2
1990
The flexural rigidity of a thin plate reinforced with periodic systems of separated rods. Zbl 1272.74409
Nazarov, S. A.; Sweers, G. H.; Slutskij, A. S.
2
2010
On examples to a conjecture of de Saint Venant. Zbl 0794.73027
Sweers, Guido
2
1992
An asymptotic eigenvalue problem for a Schrödinger type equation on domains with boundaries. Zbl 1359.35119
Reyes, Carlos Andrés; Sweers, Guido
2
2016
A comparison result for perturbed radial \(p\)-Laplacians. Zbl 1073.35089
Manásevich, Raul; Sweers, Guido
1
2004
Nonexistence of local minima of supersolutions for the circular clamped plate. Zbl 1063.35044
Grunau, Hans-Christoph; Sweers, Guido
1
2001
A noncooperative elliptic system with \(p\)-Laplacians that preserves positivity. Zbl 0933.35055
Manásevich, Raúl; Sweers, Guido
1
1999
On the lifetime of a conditioned Brownian motion in domains connected through small gaps. Zbl 1326.60118
Erven, Matthias; Sweers, Guido
1
2015
Pointwise behaviour of the solution of the Poisson problem near conical points. Zbl 1318.35003
Beygmohammadi, Maryam; Sweers, Guido
1
2015
More on the potential for the farthest-point distance function. Zbl 1319.31008
Kawohl, Bernd; Nitsch, Carlo; Sweers, Guido
1
2015
Bilaplace eigenfunctions compared with Laplace eigenfunctions in some special cases. Zbl 1440.35224
Sweers, Guido
1
2019
Comparing variational methods for the hinged Kirchhoff plate with corners. Zbl 1439.35158
De Coster, Colette; Nicaise, Serge; Sweers, Guido
1
2019
Note on a sign-dependent regularity for the polyharmonic Dirichlet problem. Zbl 1464.35094
Schnieders, Inka; Sweers, Guido
1
2021
A maximum principle for a fourth-order Dirichlet problem on smooth domains. Zbl 1467.35074
Schnieders, Inka; Sweers, Guido
1
2020
Classical solutions up to the boundary to some higher order semilinear Dirichlet problems. Zbl 1466.35122
Schnieders, Inka; Sweers, Guido
1
2021
Differences between fundamental solutions of general higher order elliptic operators and of products of second order operators. Zbl 1485.35002
Grunau, Hans-Christoph; Romani, Giulio; Sweers, Guido
3
2021
Note on a sign-dependent regularity for the polyharmonic Dirichlet problem. Zbl 1464.35094
Schnieders, Inka; Sweers, Guido
1
2021
Classical solutions up to the boundary to some higher order semilinear Dirichlet problems. Zbl 1466.35122
Schnieders, Inka; Sweers, Guido
1
2021
A biharmonic converse to Krein-Rutman: a maximum principle near a positive eigenfunction. Zbl 1441.35082
Schnieders, Inka; Sweers, Guido
5
2020
A maximum principle for a fourth-order Dirichlet problem on smooth domains. Zbl 1467.35074
Schnieders, Inka; Sweers, Guido
1
2020
On a formula for sets of constant width in 2D. Zbl 1419.52001
Kawohl, Bernd; Sweers, Guido
4
2019
Correction to: An elementary proof that the triharmonic Green function of an eccentric ellipse changes sign. Zbl 1408.35017
Sweers, Guido
3
2019
Bilaplace eigenfunctions compared with Laplace eigenfunctions in some special cases. Zbl 1440.35224
Sweers, Guido
1
2019
Comparing variational methods for the hinged Kirchhoff plate with corners. Zbl 1439.35158
De Coster, Colette; Nicaise, Serge; Sweers, Guido
1
2019
Positivity for a hinged convex plate with stress. Zbl 1391.35132
Sweers, Guido; Vassi, Katerina
4
2018
An elementary proof that the triharmonic Green function of an eccentric ellipse changes sign. Zbl 1347.35094
Sweers, Guido
7
2016
On sign preservation for clotheslines, curtain rods, elastic membranes and thin plates. Zbl 1358.35025
Sweers, Guido
3
2016
An asymptotic eigenvalue problem for a Schrödinger type equation on domains with boundaries. Zbl 1359.35119
Reyes, Carlos Andrés; Sweers, Guido
2
2016
Solving the biharmonic Dirichlet problem on domains with corners. Zbl 1325.74090
De Coster, Colette; Nicaise, Serge; Sweers, Guido
7
2015
On the lifetime of a conditioned Brownian motion in domains connected through small gaps. Zbl 1326.60118
Erven, Matthias; Sweers, Guido
1
2015
Pointwise behaviour of the solution of the Poisson problem near conical points. Zbl 1318.35003
Beygmohammadi, Maryam; Sweers, Guido
1
2015
More on the potential for the farthest-point distance function. Zbl 1319.31008
Kawohl, Bernd; Nitsch, Carlo; Sweers, Guido
1
2015
In any dimension a “clamped plate” with a uniform weight may change sign. Zbl 1285.35019
Grunau, Hans-Christoph; Sweers, Guido
9
2014
A clamped plate with a uniform weight may change sign. Zbl 1286.35096
Grunau, Hans-Christoph; Sweers, Guido
8
2014
Hopf’s boundary point lemma, the Krein-Rutman theorem and a special domain. Zbl 1298.35047
Beygmohammadi, Maryam; Sweers, Guido
3
2014
Positivity for the Navier bilaplace, an anti-eigenvalue and an expected lifetime. Zbl 1286.35098
Sweers, Guido
3
2014
Hinged and supported plates with corners. Zbl 1325.74093
Nazarov, Sergey A.; Stylianou, Athanasios; Sweers, Guido
12
2012
Corners give problems when decoupling fourth order equations into second order systems. Zbl 1260.35040
Gerasimov, Tymofiy; Stylianou, Athanasios; Sweers, Guido
6
2012
Korn inequalities for a reinforced plate. Zbl 1327.74097
Nazarov, Sergey A.; Slutskij, Andrey S.; Sweers, Guido H.
3
2012
Homogenization of a thin plate reinforced with periodic families of rigid rods. Zbl 1415.74044
Nazarov, S. A.; Sweers, G. H.; Slutskij, A. S.
11
2011
Optimal estimates from below for biharmonic Green functions. Zbl 1220.35027
Grunau, Hans-Christoph; Robert, Frédéric; Sweers, Guido
9
2011
Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains. Zbl 1239.35002
Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido
411
2010
Optimal Sobolev and Hardy-Rellich constants under Navier boundary conditions. Zbl 1202.46038
Gazzola, Filippo; Grunau, Hans-Christoph; Sweers, Guido
21
2010
Spectra of two-dimensional models for thin plates with sharp edges. Zbl 1304.74040
Campbell, A.; Nazarov, S. A.; Sweers, G. H.
5
2010
Comparing hinged and supported rectangular plates. Zbl 1420.74007
Stylianou, Athanasios; Sweers, Guido
4
2010
The flexural rigidity of a thin plate reinforced with periodic systems of separated rods. Zbl 1272.74409
Nazarov, S. A.; Sweers, G. H.; Slutskij, A. S.
2
2010
A survey on boundary conditions for the biharmonic. Zbl 1171.35034
Sweers, Guido
34
2009
On positivity for the biharmonic operator under Steklov boundary conditions. Zbl 1155.35019
Gazzola, Filippo; Sweers, Guido
29
2008
On the lifetime of a conditioned Brownian motion on a fish bowl. Zbl 1139.58027
Erven, M.; Sweers, G.
2
2008
Asymptotically sharp weight korn’s inequality for thin-walled elastic structures. Zbl 1202.74061
Izotova, O. V.; Nazarov, S. A.; Sweers, G. H.
2
2008
A hinged plate equation and iterated Dirichlet Laplace operator on domains with concave corners. Zbl 1108.35043
Nazarov, Sergueï A.; Sweers, Guido
39
2007
Regions of positivity for polyharmonic Green functions in arbitrary domains. Zbl 1189.35057
Grunau, Hans-Christoph; Sweers, Guido
7
2007
Estimates for the expected lifetime of conditioned Brownian motion. Zbl 1133.60347
van 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 1105.35126
Kawohl, 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 1096.00007
de Pagter, Ben
2
2006
The clamped-plate equation for the Limac con. Zbl 1223.35145
Dall’Acqua, Anna; Sweers, Guido
13
2005
Separating positivity and regularity for fourth order Dirichlet problem in 2d-domains. Zbl 1330.35118
Dall’Acqua, Anna; Meister, Christian; Sweers, Guido
9
2005
Existence of solutions to a semilinear elliptic system trough Orlicz-Sobolev spaces. Zbl 1167.35352
de Pagter, Ben; Clémente, Philippe; Sweers, Guido; de Thélin, François
68
2004
Estimates for Green function and Poisson kernels of higher-order Dirichlet boundary value problems. Zbl 1154.35338
Dall’Acqua, Anna; Sweers, Guido
41
2004
On domains for which the clamped plate system is positivity preserving. Zbl 1080.35017
Dall’Acqua, A.; Sweers, G.
6
2004
On a conditioned Brownian motion and a maximum principle on the disk. Zbl 1077.60059
Dall’Acqua, A.; Grunau, H.-C.; Sweers, G. H.
5
2004
A comparison result for perturbed radial \(p\)-Laplacians. Zbl 1073.35089
Manásevich, Raul; Sweers, Guido
1
2004
On the bifurcation curve for an elliptic system of FitzHugh-Nagumo type. Zbl 1082.35068
Sweers, Guido; Troy, William C.
20
2003
Solutions with internal jump for an autonomous elliptic system of FitzHugh-Nagumo type. Zbl 1118.35009
Reinecke, Carolus; Sweers, Guido
10
2003
On ‘anti’-eigenvalues for elliptic systems and a question of McKenna and Walter. Zbl 1037.35047
Kawohl, Bernd; Sweers, Guido
13
2002
Sharp estimates for iterated Green functions. Zbl 1115.35009
Grunau, H.-Ch.; Sweers, G.
13
2002
No Gidas-Ni-Nirenberg type result for semilinear biharmonic problems. Zbl 1158.35314
Sweers, G.
8
2002
Among all two-dimensional convex domains the disk is not optimal for the lifetime of a conditioned Brownian motion. Zbl 1016.60073
Kawohl, Bernd; Sweers, Guido
6
2002
When is the first eigenfunction for the clamped plate equation of fixed sign? Zbl 0963.35049
Sweers, Guido
15
2001
Existence and uniqueness of solutions on bounded domains to a FitzHugh-Nagumo type elliptic system. Zbl 1066.35069
Reinecke, Carolus; Sweers, Guido
10
2001
Uniform anti-maximum principle for polyharmonic boundary value problems. Zbl 0959.35044
Clément, Philippe; Sweers, Guido
9
2001
Optimal conditions for anti-maximum principles. Zbl 1072.35066
Sweers, Guido; Grunau, Hans-Christoph
6
2001
Nonexistence of local minima of supersolutions for the circular clamped plate. Zbl 1063.35044
Grunau, Hans-Christoph; Sweers, Guido
1
2001
Uniform anti-maximum principles. Zbl 0964.35033
Clément, Ph.; Sweers, G.
18
2000
A positive solution on \(\mathbb{R}^N\) to a system of elliptic equations of FitzHugh-Nagumo type. Zbl 0929.35042
Reinecke, Carolus; Sweers, Guido
27
1999
The existence of the principal eigenvalue for cooperative elliptic systems in a general domain. Zbl 0940.35147
Birindelli, I.; Mitidieri, E.; Sweers, G.
19
1999
Sign change for the Green function and for the first eigenfunction of equations of clamped-plate type. Zbl 0973.74044
Grunau, Hans-Christoph; Sweers, Guido
13
1999
A boundary layer solution to a semilinear elliptic system of FitzHugh-Nagumo type. Zbl 0931.35046
Reinecke, Carolus; Sweers, Guido
8
1999
Positivity for a noncooperative system of elliptic equations in \({\mathbb{R}}^N\). Zbl 0947.35050
Stavrakakis, Nikos; Sweers, Guido
3
1999
On the nonexistence of some special eigenfunctions for the Dirichlet Laplacian and the Lamé system. Zbl 0934.74010
Sweers, Guido; Zuazua, Enrique
2
1999
A noncooperative elliptic system with \(p\)-Laplacians that preserves positivity. Zbl 0933.35055
Manásevich, Raúl; Sweers, Guido
1
1999
The maximum principle and positive principal eigenfunctions for polyharmonic equations. Zbl 0988.35039
Grunau, Hans-Christoph; Sweers, Guido
28
1998
Positivity results for a nonlocal elliptic equation. Zbl 0909.35040
Freitas, Pedro; Sweers, Guido
11
1998
The role of positive boundary data in generalized clamped plate equations. Zbl 0905.35019
Grunau, Hans-Christoph; Sweers, Guido
5
1998
Positivity for equations involving polyharmonic operators with Dirichlet boundary conditions. Zbl 0892.35031
Grunau, Hans-Christoph; Sweers, Guido
67
1997
\(L^ n\) is sharp for the anti-maximum principle. Zbl 0885.35016
Sweers, Guido
13
1997
Positivity properties of elliptic boundary value problems of higher order. Zbl 0894.35016
Grunau, Hans-Christoph; Sweers, Guido
13
1997
Classical solutions for some higher order semilinear elliptic equations under weak growth conditions. Zbl 0867.35031
Grunau, Hans-Christoph; Sweers, Guido
9
1997
Positivity for perturbations of polyharmonic operators with Dirichlet boundary conditions in two dimensions. Zbl 0863.35016
Grunau, Hans-Christoph; Sweers, Guido
31
1996
Hopf’s lemma and two dimensional domains with corners. Zbl 0892.35032
Sweers, Guido
8
1996
On the invertibility of mappings arising in 2D grid generation problems. Zbl 0856.65131
Clément, Ph.; Hagmeijer, R.; Sweers, G.
5
1996
Weakly coupled elliptic systems and positivity. Zbl 0834.35041
Mitidieri, Enzo; Sweers, Guido
36
1995
Non-existence theorems for systems of quasilinear partial differential equations. Zbl 0833.35043
Mitidieri, Enzo; Sweers, Guido; van der Vorst, Rob
19
1995
Positivity for a strongly coupled elliptic system by Green function estimates. Zbl 0792.35048
Sweers, Guido
23
1994
Existence of a maximal solution for quasimonotone elliptic systems. Zbl 0809.35027
Mitidieri, Enzo; Sweers, Guido
7
1994
Point interactions on bounded domains. Zbl 0807.35054
Caspers, Wim; Sweers, Guido
3
1994
Strong positivity in \(C(\bar\Omega)\) for elliptic systems. Zbl 0727.35045
Sweers, Guido
88
1992
A sign-changing global minimizer on a convex domain. Zbl 0789.35066
Sweers, G.
4
1992
On examples to a conjecture of de Saint Venant. Zbl 0794.73027
Sweers, Guido
2
1992
On quasiconvexity, rank-one convexity and symmetry. Zbl 0722.49023
Kawohl, Bernhard; Sweers, Guido
2
1990
On the existence of a maximal weak solution for a semilinear elliptic equation. Zbl 0732.35027
Dancer, E. N.; Sweers, G.
28
1989
A strong maximum principle for a noncooperative elliptic system. Zbl 0682.35016
Sweers, Guido
15
1989
A counterexample with convex domain to a conjecture of De Saint Venant. Zbl 0693.73005
Sweers, Guido
5
1989
Semilinear elliptic problems on domains with corners. Zbl 0702.35097
Sweers, Guido
4
1989
On the maximum of solutions for a semilinear elliptic problem. Zbl 0681.35013
Sweers, Guido
10
1988
Existence and multiplicity results for a semilinear elliptic eigenvalue problem. Zbl 0662.35045
Clément, Philippe; Sweers, Guido
73
1987
Getting a solution between sub- and supersolutions without monotone iteration. Zbl 0687.35037
Clément, Philippe; Sweers, Guido
13
1987
Remarks on eigenvalues and eigenfunctions of a special elliptic system. Zbl 0644.35073
Kawohl, Bernhard; Sweers, Guido
10
1987
Some results for a semilinear elliptic problem with a large parameter. Zbl 0647.35067
Sweers, 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 0606.35035
Clément, Philippe; Sweers, Guido
2
1986
all top 5

Cited by 1,245 Authors

52 Sweers, Guido H.
26 Gazzola, Filippo
23 Nazarov, Sergeĭ Aleksandrovich
21 Grunau, Hans-Christoph
15 Dancer, Edward Norman
15 Karachik, Valeriĭ Valentinovich
14 Guo, Yuxia
14 Mihăilescu, Mihai
12 Matevosyan, Hovik A.
11 Buoso, Davide
11 Guo, Zongming
11 Rădulescu, Vicenţiu D.
10 Ferrero, Alberto
10 Shivaji, Ratnasingham
9 Berchio, Elvise
9 Lamberti, Pier Domenico
9 Wei, Juncheng
8 Chen, Chaonien
8 Figueiredo, Giovany Malcher
8 García-Melián, Jorge
8 Kozlov, Vladimir A.
8 Mitidieri, Enzo Luigi
8 Weth, Tobias
8 Yan, Shusen
7 Abatangelo, Nicola
7 Dall’Acqua, Anna
7 Drábek, Pavel
7 Glück, Jochen
7 Ma, Ruyun
7 Provenzano, Luigi
7 Saldaña, Alberto
7 Santra, Sanjiban
7 Yang, Zuodong
6 Choi, Yung-Sze
6 Cianchi, Andrea
6 Clément, Philippe J. E.
6 Lu, Guozhen
6 Moreira dos Santos, Ederson
6 Müller, Marius
6 Musina, Roberta
6 Nicaise, Serge
6 Okabe, Shinya
6 Turmetov, Batirkhan Khudaybergenovich
6 Zhou, Jun
5 Bachar, Imed
5 Carl, Siegfried
5 Cassani, Daniele
5 Castro, Alfonso
5 Chang, Kung-Ching
5 Colasuonno, Francesca
5 Sobreira de Araujo Corrêa, Francisco Julio
5 De Coster, Colette
5 Freitas, Pedro
5 Ghergu, Marius
5 Hu, Yichen
5 Jarohs, Sven
5 Kawohl, Bernd
5 Li, Peijun
5 Liu, Ting
5 Lu, Yanqiong
5 Mâagli, Habib
5 Mayboroda, Svitlana
5 Sabina-de-Lis, José Claudio
5 Serov, Valery S.
5 Srati, Mohammed
5 Suárez, Antonio
4 Afrouzi, Ghasem Alizadeh
4 Álvarez-Caudevilla, Pablo
4 Alves, Claudianor Oliveira
4 Arioli, Gianni
4 Arrieta, José M.
4 Barton, Ariel E.
4 Bhattacharyya, Sombuddha
4 Biswas, Anup
4 Bonanno, Gabriele
4 Chasman, Laura Mercredi
4 Chen, Ruipeng
4 Da Silva, Edcarlos Domingos
4 D’Ambrosio, Lorenzo
4 Daners, Daniel
4 Dávila, Juan
4 Delgado, Manuel
4 Dipierro, Serena
4 Du, Yihong
4 Ferraresso, Francesco
4 Fleckinger, Jacqueline
4 Ghosh, Tuhin
4 Abreu Goncalves, Jose Valdo
4 Hamel, François
4 Harrabi, Abdellaziz
4 Heidarkhani, Shapour
4 Jannelli, Enrico
4 Laurençot, Philippe
4 Le, Vy Khoi
4 Leite, Edir Junior Ferreira
4 Lu, Qishao
4 Maksymiuk, Jakub
4 Molica Bisci, Giovanni
4 Montenegro, Marcos
4 Nóbrega, Alânnio B.
...and 1,145 more Authors
all top 5

Cited in 259 Serials

78 Journal of Differential Equations
65 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
50 Journal of Mathematical Analysis and Applications
32 Calculus of Variations and Partial Differential Equations
21 Journal of Functional Analysis
20 Proceedings of the American Mathematical Society
19 Annali di Matematica Pura ed Applicata. Serie Quarta
17 Mathematical Methods in the Applied Sciences
17 Complex Variables and Elliptic Equations
16 Discrete and Continuous Dynamical Systems
16 Communications on Pure and Applied Analysis
14 Journal of Mathematical Sciences (New York)
14 Nonlinear Analysis. Theory, Methods & Applications
13 SIAM Journal on Mathematical Analysis
13 Communications in Contemporary Mathematics
12 Mathematische Nachrichten
12 Nonlinear Analysis. Real World Applications
11 Applicable Analysis
11 Advances in Mathematics
11 Transactions of the American Mathematical Society
11 Boundary Value Problems
10 Archive for Rational Mechanics and Analysis
10 Applied Mathematics Letters
10 The Journal of Geometric Analysis
10 Communications in Partial Differential Equations
9 Journal d’Analyse Mathématique
9 Applied Mathematics and Computation
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 NoDEA. Nonlinear Differential Equations and Applications
7 Inverse Problems
7 Archiv der Mathematik
7 Mathematische Annalen
7 Topological Methods in Nonlinear Analysis
7 Abstract and Applied Analysis
7 Discrete and Continuous Dynamical Systems. Series B
7 Milan Journal of Mathematics
6 Computers & Mathematics with Applications
6 Integral Equations and Operator Theory
6 Mathematische Zeitschrift
6 Monatshefte für Mathematik
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Potential Analysis
6 Positivity
6 Lobachevskii Journal of Mathematics
6 Differential Equations
6 Advanced Nonlinear Studies
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Inverse Problems and Imaging
6 Discrete and Continuous Dynamical Systems. Series S
6 Mathematics in Engineering
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 Applied Mathematics and Optimization
5 Physica D
5 Journal of Scientific Computing
5 Computational Mathematics and Mathematical Physics
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 SIAM Journal on Applied Mathematics
5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
5 Analysis and Applications (Singapore)
5 Journal of Fixed Point Theory and Applications
4 Rocky Mountain Journal of Mathematics
4 Journal of Computational and Applied Mathematics
4 Journal für die Reine und Angewandte Mathematik
4 Applied Mathematical Modelling
4 Russian Journal of Mathematical Physics
4 Acta Mathematica Sinica. English Series
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
4 Mediterranean Journal of Mathematics
4 Journal of Elliptic and Parabolic Equations
3 Journal of Mathematical Physics
3 The Annals of Probability
3 Manuscripta Mathematica
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Proceedings of the London Mathematical Society. Third Series
3 Studies in Applied Mathematics
3 Acta Applicandae Mathematicae
3 Journal of Dynamics and Differential Equations
3 Journal of Nonlinear Science
3 Electronic Journal of Differential Equations (EJDE)
3 Journal of Inverse and Ill-Posed Problems
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 SIAM Journal on Imaging Sciences
3 Analysis & PDE
3 Advances in Pure and Applied Mathematics
3 Ufimskiĭ Matematicheskiĭ Zhurnal
3 Advances in Nonlinear Analysis
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 Mathematical Notes
2 Nonlinearity
2 Calcolo
...and 159 more Serials
all top 5

Cited in 38 Fields

898 Partial differential equations (35-XX)
149 Potential theory (31-XX)
104 Mechanics of deformable solids (74-XX)
85 Operator theory (47-XX)
71 Numerical analysis (65-XX)
64 Functional analysis (46-XX)
60 Calculus of variations and optimal control; optimization (49-XX)
57 Global analysis, analysis on manifolds (58-XX)
53 Biology and other natural sciences (92-XX)
52 Ordinary differential equations (34-XX)
33 Differential geometry (53-XX)
30 Real functions (26-XX)
30 Probability theory and stochastic processes (60-XX)
26 Fluid mechanics (76-XX)
16 Integral equations (45-XX)
12 Dynamical systems and ergodic theory (37-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
11 Functions of a complex variable (30-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Optics, electromagnetic theory (78-XX)
7 Systems theory; control (93-XX)
6 Quantum theory (81-XX)
5 Measure and integration (28-XX)
5 Special functions (33-XX)
5 Approximations and expansions (41-XX)
4 Convex and discrete geometry (52-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Computer science (68-XX)
2 Combinatorics (05-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Difference and functional equations (39-XX)
2 Geometry (51-XX)
2 Statistics (62-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 Integral transforms, operational calculus (44-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year