Positive Finite Energy Solutions of Critical Semilinear Elliptic Problems

DOI10.4153/CJM-1992-062-2zbMath0795.35033OpenAlexW2318742478MaRDI QIDQ4015252

Jianfu Yang, Charles A. Swanson, Ezzat S. Noussair

Publication date: 12 January 1993

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1992-062-2

zbMATH Keywords

unbounded domaincritical Sobolev exponentexistence and asymptotic properties of solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods applied to PDEs (35A15)

Related Items (12)

Multiple positive solutions for semilinear elliptic equations in ℝ involving critical exponents ⋮ Uncountable sets of finite energy solutions for semilinear elliptic problems in exterior domains ⋮ Multiple finite energy states for critical potential systems ⋮ Uniqueness for semilinear polyharmonic problems ⋮ Existence and nonexistence of positive radial solutions of an elliptic Dirichlet problem in an exterior domain ⋮ Existence of solution for a singular critical elliptic equation. ⋮ On a class of semilinear elliptic problems in ℝN with critical growth ⋮ On the existence of multiple positive solutions of critical semilinear elliptic problems ⋮ Existence of positive solutions for m-Laplacian equations in N involving critical Sobolev exponents ⋮ The scalar curvature equation on \(\mathbb R^N\) ⋮ Existence and properties of multiple positive solutions for semi-linear equations with critical exponents ⋮ A CLASS OF CRITICAL KIRCHHOFF PROBLEM ON THE HYPERBOLIC SPACE

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