POSITIVE SOLUTIONS FOR A FOURTH-ORDER QUASILINEAR EQUATION WITH CRITICAL SOBOLEV EXPONENT

DOI10.1142/S0219199710003701zbMath1206.35123MaRDI QIDQ5306076

Ederson Moreira dos Santos

Publication date: 29 March 2010

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

critical exponentHamiltonian systemfourth-order quasilinear equationNehari set

Mathematics Subject Classification ID

Variational inequalities (49J40) Variational methods for second-order elliptic equations (35J20) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92) Boundary value problems for second-order elliptic systems (35J57)

Related Items (6)

On the existence of positive solutions for a nonhomogeneous elliptic system ⋮ Representation theorems for Sobolev spaces on intervals and multiplicity results for nonlinear ODEs ⋮ On Hamiltonian systems with critical Sobolev exponents ⋮ Hamiltonian elliptic systems with critical polynomial-exponential growth ⋮ Positive solutions to a fourth-order elliptic problem by the Lusternik-Schnirelmann category ⋮ Critical and noncritical regions on the critical hyperbola

Cites Work

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• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• A rellich type identity and applications
• Positive solutions to semilinear problems with coefficient that changes sign
• Asymptotic behaviour of ground states

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