The \(p(x)\)-Laplacian and applications

zbMath1185.46020MaRDI QIDQ1038535

Peter A. Hästö

Publication date: 18 November 2009

Published in: The Journal of Analysis (Search for Journal in Brave)

zbMATH Keywords

differential equationsvariable exponent spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Nonlinear boundary value problems for linear elliptic equations (35J65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Other generalizations (nonlinear potential theory, etc.) (31C45) Applications of functional analysis to differential and integral equations (46N20)

Related Items (16)

\(p(\cdot)\)-Laplacian problem with nonlinear singular terms ⋮ Existence of entropy solutions to nonlinear parabolic problems with variable exponent and \(L^1\)-data ⋮ On a nonlinear elliptic system involving the (p(x),q(x))-Laplacian operator with gradient dependence ⋮ Weighted \(p(\cdot)\)-Laplacian problem with nonlinear singular terms ⋮ Entropy solution for a nonlinear degenerate parabolic problem in weighted Sobolev space via Rothe's time-discretization approach ⋮ The existence and uniqueness result of entropy solutions for a p(·)-Laplace operator problem in weighted Sobolev spaces ⋮ Unnamed Item ⋮ Three solutions to a Neumann problem for elliptic equations with variable exponent ⋮ Unnamed Item ⋮ Approximation of the first eigenpair of the \(p(x)\)-Laplacian using WEB-spline based mesh-free method ⋮ Existence of entropy solutions to nonlinear degenerate parabolic problems with variable exponent and \(L^1\)-data ⋮ EXISTENCE OF SOLUTIONS FOR CRITICAL SYSTEMS WITH VARIABLE EXPONENTS ⋮ Harmonic type approximation lemmas ⋮ Unnamed Item ⋮ On \(p(\cdot)\)-Laplacian problem with singular nonlinearity having variable exponent ⋮ Existence of solutions for \(p(x)\) Laplacian equations without Ambrosetti-Rabinowitz type condition

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