Existence, uniqueness, and decay results for singular \(\Phi\)-Laplacian systems in \(\mathbb{R}^N\)

DOI10.1007/S00030-024-01001-XMaRDI QIDQ6630542

Umberto Guarnotta, Laura R. Gambera

Publication date: 31 October 2024

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessa priori estimatessingular \(\Phi\)-Laplacian system

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62) Singular elliptic equations (35J75) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• 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?)
• Orlicz spaces and modular spaces
• The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth
• The maximum principle
• Asymptotics at infinity of solutions for \(p\)-Laplace equations in exterior domains
• Functional analysis, Sobolev spaces and partial differential equations
• Compact embeddings for weighted Orlicz-Sobolov spaces on \({\mathbb R}^ N\)
• Quasilinear elliptic systems with convex-concave singular terms and \(\Phi\)-Laplacian operator.
• Orlicz spaces and generalized Orlicz spaces
• A type of Brézis-Oswald problem to \(\Phi\)-Laplacian operator with strongly-singular and gradient terms
• Strongly singular problems in exterior domains
• Singular quasilinear convective elliptic systems in \(\mathbb{R}^N\)
• Strongly singular convective elliptic equations in \(\mathbb{R}^N\) driven by a non-homogeneous operator
• Existence of two solutions for singular \(\Phi\)-Laplacian problems
• Some recent results on singular \(p\)-Laplacian equations
• Maximal domains of the \((\lambda, \mu )\)-parameters to existence of entire positive solutions for singular quasilinear elliptic systems
• Singular semilinear elliptic problems with asymptotically linear reaction terms
• Singular quasilinear elliptic systems in \(\mathbb{R}^N\)
• About positive \(W_{\mathrm{loc}}^{1,\Phi}(\Omega)\)-solutions to quasilinear elliptic problems with singular semilinear term
• Boundedness of solutions to Dirichlet, Neumann and Robin problems for elliptic equations in Orlicz spaces
• Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
• Positive Solutions of Quasilinear Elliptic Equations with Critical Orlicz-Sobolev Nonlinearity on RN
• Existence of positive solutions for a class of p-Laplacian superlinear semipositone problems
• Classical Fourier Analysis
• Weakly Differentiable Functions
• Boundedness of solutions to variational problems under general growth conditions
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• A sharp embedding theorem for Orlicz-Sobolev spaces
• Two solutions for a parametric singular p-Laplacian problem
• Symmetrization in Anisotropic Elliptic Problems
• Fractional Integration in Orlicz Spaces. I
• Some recent results on singular \(p\)-Laplacian systems

Related Items (1)

Existence and regularity for a \(p\)-Laplacian problem in \(\mathbb{R}^N\) with singular, convective, and critical reaction

This page was built for publication: Existence, uniqueness, and decay results for singular \(\Phi\)-Laplacian systems in \(\mathbb{R}^N\)

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6630542)