Multiple solutions for a class of biharmonic equations with a nonlinearity concave at the origin

DOI10.1016/j.jmaa.2011.05.030zbMath1223.35147OpenAlexW2085633597MaRDI QIDQ2275493

Jian Zhang, Zhongli Wei

Publication date: 9 August 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.05.030

zbMATH Keywords

biharmonic equationmultiple solutionsnonlinearity concave at the origin

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Variational methods for elliptic systems (35J50)

Related Items (4)

Existence, nonexistence and multiplicity of positive solutions for the poly-Laplacian and nonlinearities with zeros ⋮ Multiplicity of solutions for a class of fourth-order elliptic problems with asymptotically linear term ⋮ High energy solutions for the fourth-order elliptic equations in \(\mathbb R^N\) ⋮ High energy solutions of modified quasilinear fourth-order elliptic equations with sign-changing potential

Cites Work

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• Minimax systems
• Multiple solutions to \(p\)-Laplacian problems with concave nonlinearities
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• Multiplicity results for some nonlinear elliptic equations
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• Multiplicity results for a fourth-order semilinear elliptic problem
• On an Elliptic Equation with Concave and Convex Nonlinearities
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
• A class of resonant elliptic problems with sublinear nonlinearity at origin and at infinity

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