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A prescribed anisotropic mean curvature equation modeling the corneal shape: A paradigm of nonlinear analysis

Chiara Corsato , Colette De Coster , Franco Obersnel , Pierpaolo Omari , Alessandro Soranzo
Discrete and Continuous Dynamical Systems - Series S, 2018, 11 (2), pp.213-256. ⟨10.3934/dcdss.2018013⟩
Article dans une revue hal-03135736v1
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Infinitely many radial solutions of a mean curvature equation in Lorentz-Minkowski space

Denis Bonheure , Colette De Coster , Ann Derlet
Rendiconti dell'Istituto di Matematica dell'Universita di Trieste: an International Journal of Mathematics, 2012, 44 (1), pp.259-284
Article dans une revue hal-03721671v1

Nodal properties of eigenfunctions of a generalized buckling problem on balls

Colette De Coster , Serge Nicaise , Christophe Troestler
Matinée des Chercheurs 2015, Mar 2015, Mons, Belgium
Poster de conférence hal-03164522v1
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Qualitative analysis of a curvature equation modeling MEMS with vertical loads

Chiara Corsato , Colette De Coster , Franco Obersnel , Pierpaolo Omari
Nonlinear Analysis: Real World Applications, 2020, 55, pp.103123. ⟨10.1016/j.nonrwa.2020.103123⟩
Article dans une revue hal-03721631v1

Nodal properties of eigenfunctions of a generalized buckling problem on balls

Colette de Coster , Serge Nicaise , Christophe Troestler
Positivity, 2015, 19 (4), pp.843-875. ⟨10.1007/s11117-015-0331-y⟩
Article dans une revue hal-01956617v1
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Singular behavior of the solution of the Helmholtz equation in weighted L^p -Sobolev spaces

Colette De Coster , Serge Nicaise
Advances in Differential Equations, 2011, 16, pp.165-198
Article dans une revue hal-03721687v1
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On the notion of ground state for nonlinear Schrödinger equations on metric graphs

Colette De Coster , Simone Dovetta , Damien Galant , Enrico Serra
Calculus of Variations and Partial Differential Equations, 2023, 62 (5), pp.159. ⟨10.1007/s00526-023-02497-4⟩
Article dans une revue hal-03948682v1

Heteroclinics for non autonomous third order differential equations

Denis Bonheure , José Ángel Cid , Colette De Coster , Luís Sanchez
Topological Methods in Nonlinear Analysis, 2014, 43 (1), pp.53-68. ⟨10.12775/tmna.2014.004⟩
Article dans une revue hal-03135614v1
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Existence and multiplicity for elliptic p-Laplacian problems with critical growth in the gradient

Colette De Coster , Antonio J. Fernández Sánchez
Calculus of Variations and Partial Differential Equations, 2018, 57 (3), 42 p. ⟨10.1007/s00526-018-1346-6⟩
Article dans une revue hal-03137670v1

Regularity of solutions of elliptic problems with a curved fracture

S. Ariche , Colette De Coster , Serge Nicaise
Journal of Mathematical Analysis and Applications, 2017, 447 (2), pp.908-932. ⟨10.1016/j.jmaa.2016.10.021⟩
Article dans une revue hal-03149894v1

Regularity results for elliptic problems with measure

Sadjiya Ariche , Colette De Coster , Serge Nicaise
Nord Pas-de-Calais/Belgium congress of mathematics, Oct 2013, Valenciennes, France
Poster de conférence hal-03142664v1

Solving the biharmonic Dirichlet problem on domains with corners

Colette De Coster , Serge Nicaise , Guido Sweers
Mathematical News / Mathematische Nachrichten, 2015, 288 (8-9), pp.854-871. ⟨10.1002/mana.201400022⟩
Article dans une revue istex hal-03142424v1

Comparing variational methods for the hinged Kirchhoff plate with corners

Colette De Coster , Serge Nicaise , Guido Sweers
Mathematical News / Mathematische Nachrichten, 2019, 292 (12), pp.2574-2601. ⟨10.1002/mana.201800092⟩
Article dans une revue hal-03164134v1

Continuum of solutions for an elliptic problem with critical growth in the gradient

David Arcoya , Colette De Coster , Louis Jeanjean , Kazunaga Tanaka
Journal of Functional Analysis, 2015, 268 (8), pp.2298 - 2335. ⟨10.1016/j.jfa.2015.01.014⟩
Article dans une revue hal-01755994v1
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Multiplicity results in the non-coercive case for an elliptic problem with critical growth in the gradient

Colette De Coster , Louis Jeanjean
Journal of Differential Equations, 2017, 262 (10), pp.5231 - 5270. ⟨10.1016/j.jde.2017.01.022⟩
Article dans une revue hal-01755985v1

Superlinear critical resonant problems with small forcing term

Mabel Cuesta , Colette De Coster
Calculus of Variations and Partial Differential Equations, 2015, 54 (1), pp.349-363. ⟨10.1007/s00526-014-0788-8⟩
Article dans une revue hal-03137590v1
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MULTIPLE BOUNDED VARIATION SOLUTIONS FOR A PRESCRIBED MEAN CURVATURE EQUATION WITH NEUMANN BOUNDARY CONDITIONS

Alberto Boscaggin , Francesca Colasuonno , Colette De Coster
Journal of Differential Equations, 2021, 285, pp.607-639. ⟨10.1016/j.jde.2021.03.021⟩
Article dans une revue hal-03721320v1
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Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions

David Arcoya , Colette De Coster , Louis Jeanjean , Kazunaga Tanaka
Journal of Mathematical Analysis and Applications, 2014, 420 (1), pp.772-780. ⟨10.1016/j.jmaa.2014.06.007⟩
Article dans une revue hal-03138844v1

Radially symmetric solutions of an anisotropic mean curvature equation modeling the corneal shape

Chiara Corsato , Colette De Coster , P. Omari
AIMS Conference on Dynamical Systems, Differential Equations and Applications, American institute of mathematical sciences; Instituto de Ciencias Matemáticas (ICMAT), Jul 2014, Madrid, Spain
Communication dans un congrès hal-03227738v1

The Dirichlet problem for a prescribed anisotropic mean curvature equation

Chiara Corsato , Colette De Coster , Pierpaolo Omari
Journal of Differential Equations, 2016, 260 (5), pp.4572-4618. ⟨10.1016/j.jde.2015.11.024⟩
Article dans une revue hal-03135815v1
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Nodal properties of eigenfunctions of a generalized buckling problem on balls

Colette De Coster , Serge Nicaise , Christophe Troestler
Positivity, 2015, 19 (4), pp.843-875. ⟨10.1007/s11117-015-0331-y⟩
Article dans une revue hal-03721642v1

Introduction à quelques problèmes d'EDP

Colette De Coster , Serge Nicaise
Ed. Universitaires Européennes, 200 p., 2014, 978-613-1-50683-3
Ouvrages hal-03142445v1
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Singular behavior of the solution of the Cauchy-Dirichlet heat equation in weighted L^p -Sobolev spaces

Colette De Coster , Serge Nicaise
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2011, 18, pp.769-780
Article dans une revue hal-03721680v1

Spectral analysis of a generalized buckling problem on a ball

Colette de Coster , Serge Nicaise , Christophe Troestler
Positivity, 2017, 21 (4), pp.1319-1340. ⟨10.1007/s11117-017-0469-x⟩
Article dans une revue hal-01956618v1
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Spectral analysis of a generalized buckling problem on a ball

Colette De Coster , Serge Nicaise , Christophe Troestler
Positivity, 2017, 21 (4), pp.1319-1340. ⟨10.1007/s11117-017-0469-x⟩
Article dans une revue hal-03163589v1

Existence and multiplicity for an elliptic problem with critical growth in the gradient and sign-changing coefficients

Colette De Coster , Antonio J. Fernández Sánchez
Calculus of Variations and Partial Differential Equations, 2020, 59 (3), ⟨10.1007/s00526-020-01755-z⟩
Article dans une revue hal-03337292v1
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A priori bounds and multiplicity of solutions for an indefinite elliptic problem with critical growth in the gradient

Colette De Coster , Antonio J. Fernández Sánchez , Louis Jeanjean
Journal de Mathématiques Pures et Appliquées, 2019, 132, pp.308-333. ⟨10.1016/j.matpur.2019.09.011⟩
Article dans une revue hal-02367279v1

Lower and upper solutions for the heat equation on a polygonal domain of R2

Colette De Coster , Serge Nicaise
Differential and integral equations, 2013, 26 (5/6), pp.603-622
Article dans une revue hal-03137717v1
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Singular behavior of the solution of the periodic-Dirichlet heat equation in weighted L^p -Sobolev spaces

Colette De Coster , Serge Nicaise
Advances in Differential Equations, 2011, 16, pp.221-256
Article dans une revue hal-03721684v1

A Resonant-Superlinear Elliptic Problem Revisited

Mabel Cuesta , Colette De Coster
Advanced Nonlinear Studies, 2013, 13 (1), pp.97-114. ⟨10.1515/ans-2013-0106⟩
Article dans une revue hal-03137546v1