Multiple solutions to a Dirichlet problem on bounded symmetric domains

DOI10.1006/jmaa.1999.6393zbMath0935.35050OpenAlexW2001933919MaRDI QIDQ1300033

Francesca Alessio, Walter Dambrosio

Publication date: 25 October 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6393

zbMATH Keywords

minimization of functionalsregularity resultsnon-radial solutionsublinear elliptic problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (2)

On the multiplicity of non radial solutions for singular elliptic equations ⋮ Layered solutions with multiple asymptotes for non autonomous Allen-Cahn equations in \({\mathbb {R}^{3}}\)

Cites Work

• On existence and zeros of solutions of a nonlinear two-point boundary value problem
• Applications of natural constraints in critical point theory to boundary value problems on domains with rotation symmetry
• Rapid oscillation, non-extendability and the existence of periodic solutions to second order nonlinear ordinary differential equations
• Periodic solutions of sublinear second order differential equations
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