Existence of nontrivial solutions for \(p\)-Laplacian-like equations

DOI10.1007/S10255-011-0079-5zbMath1303.35033OpenAlexW2013007894MaRDI QIDQ475685

Yao-Tian Shen, Zhou-Xin Li

Publication date: 27 November 2014

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-011-0079-5

zbMATH Keywords

critical exponentHardy potential\(p\)-Laplacian-like equation

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Critical exponents in context of PDEs (35B33) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (3)

On a class of nonuniformly nonlinear systems with Dirichlet boundary conditions ⋮ Existence and asymptotic behaviour for a Kirchhoff type equation with variable critical growth exponent ⋮ Existence and nonexistence of nontrivial weak solution for a class of general capillarity systems

Cites Work

• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Multiple critical points for nondifferentiable functionals involving Hardy potentials
• Multiple Critical Points of Perturbed Symmetric Functionals
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
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