On semilinear biharmonic equations with concave-convex nonlinearities involving weight functions

DOI10.1186/1687-2770-2014-117zbMath1304.35261OpenAlexW2142929371WikidataQ59323659 ScholiaQ59323659MaRDI QIDQ476970

Lu Yang, Xu An Wang

Publication date: 2 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-117

zbMATH Keywords

weight functionsbiharmonic equationsconcave-convex nonlinearities

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary value problems for higher-order elliptic equations (35J40) Variational methods for higher-order elliptic equations (35J35)

Related Items (2)

On abstract indefinite concave-convex problems and applications to quasilinear elliptic equations ⋮ Existence and multiplicity of nontrivial solutions for a semilinear biharmonic equation with weight functions

Cites Work

• Unnamed Item
• Unnamed Item
• Positive solutions of semilinear biharmonic equations with critical Sobolev exponents
• A nonlinear elliptic equation with critical exponent: Estimates for extremal values
• On nonhomogeneous elliptic equations involving critical Sobolev exponent
• On semilinear elliptic equations with indefinite nonlinearities
• Combined effects of concave and convex nonlinearities in some elliptic problems
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Existence and nonexistence results for critical growth biharmonic elliptic equations
• On the variational principle
• On a nonlinear fourth-order elliptic equation involving the critical Sobolev exponent
• Solutions to semilinear elliptic problems with combined nonlinearities
• Minimax theorems
• On semilinear elliptic equations involving concave--convex nonlinearities and sign-changing weight function
• Exact multiplicity for semilinear elliptic Dirichlet problems involving concave and convex nonlinearities
• On an Elliptic Equation with Concave and Convex Nonlinearities

This page was built for publication: On semilinear biharmonic equations with concave-convex nonlinearities involving weight functions