Biharmonic equations under Dirichlet boundary conditions with supercritical growth

DOI10.1515/ans-2015-5028zbMath1383.35075OpenAlexW2334222359MaRDI QIDQ278846

Mouna Ghedamsi, Saïma Khenissy, Hanen Ben Omrane

Publication date: 3 May 2016

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2015-5028

zbMATH Keywords

Dirichlet problembiharmonic equationMEMS operatorsupercritical nonlinearity

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60) Higher-order elliptic equations (35J30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonexistence and uniqueness for biharmonic problems with supercritical growth and domain geometry.
• Non-existence and uniqueness results for supercritical semilinear elliptic equations
• Sign-preserving property for some fourth-order elliptic operators in one dimension or in radial symmetry
• Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
• Uniqueness of solutions for an elliptic equation modeling MEMS
• New nonexistence results for elliptic equations with supercritical nonlinearity
• Existence and nonexistence results for critical growth biharmonic elliptic equations
• Pohozaev obstructions on non-starlike domains
• Uniqueness results for semilinear polyharmonic boundary value problems on conformally contractible domains. II.
• Nonexistence results for elliptic problems with supercritical nonlinearity in nontrivial domains
• Positivity preserving results for a biharmonic equation under Dirichlet boundary conditions
• NONEXISTENCE RESULTS FOR BIHARMONIC BOUNDARY VALUE PROBLEMS WITH SUPERCRITICAL GROWTH
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• A rellich type identity and applications
• Nonlinear non-local elliptic equation modelling electrostatic actuation
• Uniqueness for semilinear elliptic problems: Supercritical growth and domain geometry

This page was built for publication: Biharmonic equations under Dirichlet boundary conditions with supercritical growth