Concentration compactness principle at infinity with partial symmetry and its application

DOI10.1016/S0362-546X(01)00836-7zbMath1030.46039OpenAlexW2045255406MaRDI QIDQ698844

Mitsuharu Ôtani, Michinori Ishiwata

Publication date: 30 September 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00836-7

zbMATH Keywords

concentration compactness principle

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60)

Related Items (4)

Existence and nonexistence of maximizers for variational problems associated with Trudinger--Moser type inequalities in \({\mathbb{R}^N}\) ⋮ Existence and multiplicity of solutions for a supercritical elliptic problem in unbounded cylinders ⋮ Singular quasilinear critical Schrödinger equations in \(\mathbb{R}^N\) ⋮ On symmetric solutions for \((p, q)\)-Laplacian equations in \(\mathbb{R}^N\) with critical terms

Cites Work

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• The principle of symmetric criticality
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• The concentration-compactness principle in the calculus of variations. The limit case. I
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations
• Quasilinear elliptic boundary-value problems on unbounded cylinders and a related mountain-pass lemma
• Nonexistence of positive solutions for some quasilinear elliptic equations in strip-like domains
• Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents
• Minimax theorems
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Remarks on some quasilinear elliptic equations
• On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent
• Extrema problems with critical sobolev exponents on unbounded domains

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