Perturbation for a \(p(x)\)-Laplacian equation involving oscillating nonlinearities in \(R^N\)

DOI10.1016/j.na.2007.08.018zbMath1152.35041OpenAlexW2027690034MaRDI QIDQ949663

Chao Ji

Publication date: 21 October 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.08.018

zbMATH Keywords

variational principle\(p(x)\)-Laplacian equationoscillating nonlinearities

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Variational methods for higher-order elliptic equations (35J35)

Related Items (3)

Minimization of elliptic non-local functionals involving \(\vec{p}(\cdot)\)-Laplacian ⋮ Remarks on the existence of three solutions for the \(p(x)\)-Laplacian equations ⋮ Overview of differential equations with non-standard growth

Cites Work

• Perturbation from Dirichlet problem involving oscillating nonlinearities
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
• A general variational principle and some of its applications
• Existence of infinitely many solutions for a Neumann problem involving the \(p(x)\)-Laplacian
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators
• Existence of Solutions for a Class of Problems in IR N Involving the p(x)-Laplacian
• Regularity results for a class of functionals with non-standard growth
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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