Remarks on multiplicity of solutions for a subquadratic elliptic equation

DOI10.1016/j.jmaa.2014.10.007zbMath1308.35095OpenAlexW1966938671MaRDI QIDQ465387

Chengyue Li

Publication date: 31 October 2014

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.2014.10.007

zbMATH Keywords

critical pointsboundary value problemClark theoremsubquadratic elliptic equationsubquadratic potentials

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)

Cites Work

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• Multiple nontrivial solutions for some fourth-order semilinear elliptic problems
• The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
• Biharmonic equations with asymptotically linear nonlinearities
• Global bifurcation and a theorem of Tarantello
• Existence results for some fourth-order nonlinear elliptic problems of local superlinearity and sublinearity.
• The Nehari manifold for a semilinear elliptic equation involving a sublinear term
• Existence of solutions for some fourth-order nonlinear elliptic problems
• Multiple critical points of invariant functionals and applications
• Nontrivial solutions for some fourth order semilinear elliptic problems
• Multiplicity results for a fourth-order semilinear elliptic problem

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