Symmetry of nodal solutions for singularly perturbed elliptic problems on a ball
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Publication:5316025
DOI10.1512/iumj.2005.54.2546zbMath1185.35106OpenAlexW2058875688MaRDI QIDQ5316025
Wei, Juncheng, Matthias Winter
Publication date: 12 September 2005
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1512/iumj.2005.54.2546
Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Geometric theory, characteristics, transformations in context of PDEs (35A30)
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Energy bounds for entire nodal solutions of autonomous superlinear equations ⋮ Symmetry and monotonicity of positive solution of elliptic equation with mixed boundary condition in a spherical cone ⋮ Non-symmetric low-index solutions for a symmetric boundary value problem ⋮ SOLUTIONS WITH MULTIPLE ALTERNATE SIGN PEAKS ALONG A BOUNDARY GEODESIC TO A SEMILINEAR DIRICHLET PROBLEM ⋮ On the number of nodal solutions to a singularly perturbed Neumann problem ⋮ Antisymmetry of solutions for some weighted elliptic problems ⋮ On the existence and the profile of nodal solutions of elliptic equations involving critical growth ⋮ Symmetry and monotonicity of positive solutions of elliptic equations with mixed boundary conditions in a super-spherical cone ⋮ Nodal solutions for some singularly perturbed Dirichlet problems ⋮ Symmetry of positive solutions of elliptic equations with mixed boundary conditions in a super-spherical sector ⋮ A new type of nodal solutions to singularly perturbed elliptic equations with supercritical growth ⋮ Ground states of semilinear elliptic problems with applications to the Allen-Cahn equation on the sphere
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