On the existence of multiple decaying positive solutions of elliptic equations

DOI10.1016/0362-546X(90)90154-9zbMath0731.35037OpenAlexW2038171835MaRDI QIDQ3356748

No author found.

Publication date: 1990

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90154-9

zbMATH Keywords

Dirichlet problemweighted Sobolev spacessemilinear elliptic equationmultiple positive solutionsMountain Pass lemma

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Global positive solutions of semilinear elliptic problems
• On positive \(L^{\infty}\) solutions of a class of elliptic systems
• Existence of ground states with exponential decay for semi-linear elliptic equations in \({\mathbb{R}}^ n\)
• A note on topological degree for potential operators
• On the Existence of Positive Solutions for a Class of Semilinear Elliptic Boundary Value Problems
• Semilinear Elliptic Problems with Pairs of Decaying Positive Solutions
• Multiple entire solutions of a semilinear elliptic equation
• On multiple positive solutions of nonlinear elliptic eigenvalue problems
• A Note on Degree Theory for Gradient Mappings
• Equivalent Norms for Sobolev Spaces

This page was built for publication: On the existence of multiple decaying positive solutions of elliptic equations