Weak solutions for a (p(z),q(z))-Laplacian Dirichlet problem

DOI10.2298/FIL2003999NzbMath1499.35218MaRDI QIDQ5865748

Antonella Nastasi

Publication date: 9 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

weak solution\((p(z), q(z))\)-Laplacian operator\((C_c)\)-condition

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• Anisotropic nonlinear Neumann problems
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• Continuous spectrum for a two phase eigenvalue problem with an indefinite and unbounded potential
• On problems driven by the \((p(\cdot),q(\cdot))\)-Laplace operator
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• Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
• A Parametric Dirichlet Problem for Systems of Quasilinear Elliptic Equations With Gradient Dependence
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Superlinear (p(z), q(z))-equations
• Semilinear Robin problems driven by the Laplacian plus an indefinite potential
• Partial Differential Equations with Variable Exponents
• Infinitely many solutions for mixed Dirichlet-Neumann problems driven by the (p,q)-laplace operator
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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