SOLUTIONS OF AN ELLIPTIC EIGENVALUE PROBLEM INVOLVING SUBCRITICAL OR CRITICAL EXPONENTS

DOI10.1081/PDE-100107820zbMath1086.35076OpenAlexW2033142362MaRDI QIDQ2777580

Zhaoli Liu, Yongqing Li

Publication date: 2001

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-100107820

zbMATH Keywords

Positive solutionCritical exponentElliptic eigenvalue problemNegative solutionSign changing solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Critical exponents in context of PDEs (35B33) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

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Sign-changing solutions of nonlinear elliptic equations ⋮ Perturbations of symmetric eigenvalue problems

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