Minimization of quotients with variable exponents

DOI10.1016/j.jde.2018.04.010OpenAlexW2723191471WikidataQ130013531 ScholiaQ130013531MaRDI QIDQ2109139

M. D. Huamán Bolaños, Grey Ercole, Claudianor Oliveira Alves

Publication date: 20 December 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.05590

zbMATH Keywords

asymptotic behaviorvariable exponentsinfinity Laplacian

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60)

Related Items (1)

A monotone property of the ground state energy to the scalar field equation and applications

Cites Work

• Unnamed Item
• An eigenvalue problem with variable exponents
• Existence and multiplicity of solutions for a \(p(x)\)-Laplacian equation with critical growth
• Asymptotic behavior of the eigenvalues of the \(p(x)\)-Laplacian
• On the Sobolev embedding theorem for variable exponent spaces in the critical range
• Lebesgue and Sobolev spaces with variable exponents
• On stationary thermo-rheological viscous flows
• On the sub-supersolution method for \(p(x)\)-Laplacian equations
• Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
• Remarks on eigenvalue problems involving the \(p(x)\)-Laplacian
• Ljusternik-Schnirelmann theory on \(C^ 1\)-manifolds
• Image recovery via total variation minimization and related problems
• Regularity results for stationary electro-rheological fluids
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Extremal functions for Morrey's inequality in convex domains
• Nonlinear elliptic equations with variable exponent: old and new
• Notes on the Infinity Laplace Equation
• Asymptotics for the best Sobolev constants and their extremal functions
• A curious equation involving the ∞-Laplacian
• Eigenvalue problems for anisotropic equations involving a potential on Orlicz-Sobolev type spaces
• Compact embeddings for Sobolev spaces of variable exponents and existence of solutions for nonlinear elliptic problems involving the p(x)-Laplacian and its critical exponent
• Sobolev Embeddings for Generalized Ridged Domains
• A class of De Giorgi type and Hölder continuity
• Partial Differential Equations with Variable Exponents
• On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
• Some properties of the ground states of the infinity Laplacian
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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