Reduced limit approach to semilinear partial differential equations (PDEs) involving the fractional Laplacian with measure data

DOI10.3906/MAT-1912-82zbMath1498.35258OpenAlexW3199322663WikidataQ114022802 ScholiaQ114022802MaRDI QIDQ5099145

No author found.

Publication date: 31 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1912-82

zbMATH Keywords

fractional Laplacianvery weak solutionreduced limit

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Hitchhiker's guide to the fractional Sobolev spaces
• A duality approach to the fractional Laplacian with measure data
• Integration by parts formula for regional fractional Laplacian
• Maximum and comparison principles for operators involving the \(p\)-Laplacian
• Method of sub-super solutions for fractional elliptic equations
• Semi-linear second-order elliptic equations in \(L^1\)
• Nonlinear problems related to the Thomas-Fermi equation
• Minimax theorems
• Reduced limits for nonlinear equations with measures
• The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
• Reduced limit for semilinear boundary value problems with measure data
• Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
• Semilinear fractional elliptic equations involving measures
• Elliptic Equations Involving Meausres
• A study of second order semilinear elliptic PDE involving measures
• Renormalized solutions of elliptic equations with variable exponents and general measure data
• A strong comparison principle for the $p$-Laplacian
• An Extension Problem Related to the Fractional Laplacian
• Nonlinear elliptic equations with measures revisited
• Classification of solutions for an integral equation
• Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions

This page was built for publication: Reduced limit approach to semilinear partial differential equations (PDEs) involving the fractional Laplacian with measure data