Symmetry and nonexistence of low Morse index solutions in unbounded domains
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Publication:968873
DOI10.1016/j.matpur.2009.08.003zbMath1189.35100OpenAlexW1985244906MaRDI QIDQ968873
Francesca Gladiali, Filomena Pacella, Tobias Weth
Publication date: 10 May 2010
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2009.08.003
Semilinear elliptic equations (35J61) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Axially symmetric solutions to PDEs (35B07)
Related Items (18)
Separation of branches of \(O(N-1)\)-invariant solutions for a semilinear elliptic equation ⋮ A Sign-Changing Solution for an Asymptotically Linear Schrödinger Equation ⋮ Symmetry and monotonicity results for solutions of semilinear PDEs in sector-like domains ⋮ Symmetry properties of sign-changing solutions to nonlinear parabolic equations in unbounded domains ⋮ Partial regularity of stable solutions to the supercritical equations and its applications ⋮ Non-symmetric low-index solutions for a symmetric boundary value problem ⋮ Morse index and symmetry for elliptic problems with nonlinear mixed boundary conditions ⋮ Some Liouville theorems for Hénon type elliptic equations ⋮ Symmetry of solutions to nonlocal nonlinear boundary value problems in radial sets ⋮ Asymptotic axial symmetry of solutions of parabolic equations in bounded radial domains ⋮ On the second minimax level of the scalar field equation and symmetry breaking ⋮ On \(O(k)\)-invariant solutions of semilinear elliptic equations ⋮ A reduction method for semilinear elliptic equations and solutions concentrating on spheres ⋮ Bifurcation analysis of the Hardy-Sobolev equation ⋮ Sectional symmetry of solutions of elliptic systems in cylindrical domains ⋮ A monotonicity result under symmetry and Morse index constraints in the plane ⋮ Symmetry of positive solutions of elliptic equations with mixed boundary conditions in a sub-spherical sector ⋮ Some symmetric boundary value problems and non-symmetric solutions
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