Multiplicity of solutions for \(p\)-biharmonic problems with critical growth

DOI10.1216/RMJ-2018-48-2-425zbMath1391.35131OpenAlexW2806417647MaRDI QIDQ1638042

Y. Aharonov

Publication date: 12 June 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1528077624

zbMATH Keywords

critical growth\(p\)-biharmonic operatorconcave-convex nonlinearitiesNavier and Dirichlet boundary conditions

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (6)

Infinitely many solutions for a nonlinear Navier problem involving the p-biharmonic operator ⋮ Existence and Asymptotic Behavior of Beam-Equation Solutions with Strong Damping and p(x)-Biharmonic Operator ⋮ A critical \(p\)-biharmonic system with negative exponents ⋮ On a class of critical \(p\)-biharmonic Kirchhoff type problems with indefinite weights ⋮ Multiple solutions for a non-cooperative elliptic system of Kirchhoff type involving \(p\)-biharmonic operator and critical growth ⋮ Existence of solution to a nonlocal biharmonic problem with dependence on gradient and Laplacian

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• On the p-biharmonic equation involving concave-convex nonlinearities and sign-changing weight function

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