On weighted Orlicz-Sobolev inequalities

DOI10.3934/DCDS.2024055MaRDI QIDQ6592951

Ujjal Das, Subhajit Roy, T. V. Anoop

Publication date: 26 August 2024

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Orlicz spaceMuckenhoupt conditionOrlicz-Lorentz space\(\Phi\)-Laplacianweighted Sobolev inequality

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Cites Work

• Title not available (Why is that?)
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• Title not available (Why is that?)
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• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• On certain generalizations of the Gagliardo-Nirenberg inequality and their applications to capacitary estimates and isoperimetric inequalities
• Lebesgue and Sobolev spaces with variable exponents
• A Sobolev-Hardy inequality with applications to a nonlinear elliptic equation arising in astrophysics
• A direct approach to Orlicz-Sobolev capacity
• On principal eigenvalues for quasilinear elliptic differential operators: an Orlicz-Sobolev space setting
• Optimal Orlicz-Sobolev embeddings
• The compactness and the concentration compactness via \(P\)-capacity
• Lower bounds for Orlicz eigenvalues
• Admissible function spaces for weighted Sobolev inequalities
• Weighted quasilinear eigenvalue problems in exterior domains
• A note about the generalized Hardy-Sobolev inequality with potential in \(L^{p,d}(\mathbb R^n)\)
• Dirichlet problems for fully anisotropic elliptic equations
• The uncertainty principle
• Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on RN
• On a variant of the Hardy inequality between weighted Orlicz spaces
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• An eigenvalue problem for generalized Laplacian in Orlicz—Sobolev spaces
• Two Weight Φ-Inequalities for the Hardy Operator, Hardy-Littlewood Maximal Operator, and Fractional Integrals
• Existence and local boundedness of solutions of a -Laplacian problem
• Two Weight Mixed Ф-Inequalities for the Hardy Operator and the Hardy-Littlewood Maximal Operator
• A sharp embedding theorem for Orlicz-Sobolev spaces
• On a nonlinear eigenvalue problem in OrliczSobolev spaces
• Continuity of solutions for the Δ_ϕ-Laplacian operator
• On the generalized Hardy-Rellich inequalities
• Variational methods for nonlinear elliptic eigenvalue problems
• Global Hölder regularity for eigenfunctions of the fractional \(g\)-Laplacian

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