Nonlinear biharmonic boundary value problem

DOI10.1186/1687-2770-2014-30zbMath1302.35145OpenAlexW2099101025WikidataQ59318724 ScholiaQ59318724MaRDI QIDQ468520

Q-Heung Choi, Tacksun Jung

Publication date: 7 November 2014

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-30

zbMATH Keywords

polynomial growthcritical point theoryvariational method\((PS)\) conditionbiharmonic boundary value problemgeneralized mountain pass geometry

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

Nodal ground state solution to a biharmonic equation via dual method ⋮ Existence and nonexistence of nontrivial solutions for critical biharmonic equations ⋮ Existence of multi-bump solutions for a class of elliptic problems involving the biharmonic operator

Cites Work

• Unnamed Item
• A note on a semilinear elliptic problem
• Multiplicity results on a fourth order nonlinear elliptic equation
• On the existence of positive solutions of a semilinear elliptic equation with change of sign
• Multiplicity results on a nonlinear biharmonic equation
• Multiplicity results for a fourth-order semilinear elliptic problem

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