Existence of solution for a system involving a singular-nonlocal operator, a singularity and a Radon measure

DOI10.1080/17476933.2020.1849157zbMath1486.35193OpenAlexW3111504159MaRDI QIDQ5066123

Kamel Saoudi, Sanjoy Datta, Debajyoti Choudhuri, Amita Soni

Publication date: 29 March 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1849157

zbMATH Keywords

existenceDirichlet conditionsystem of nonlinear equations with fractional Laplacian

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)

Related Items (1)

Existence of multiple solutions to Schrödinger-Poisson system in a nonlocal set up in \(\mathbb{R}^3\)

Cites Work

• Unnamed Item
• Unnamed Item
• Semilinear fractional elliptic equations with measures in unbounded domain
• Neighborhood filters and PDE's
• Digital picture processing. An introduction. Transl. from the Russian
• Topologies fines et compactifications associées à certains espaces de Dirichlet
• Nonlinear elliptic equations with measure data
• Fractional generalized logistic equations with indefinite weight: quantitative and geometric properties
• The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
• Semilinear fractional elliptic equations involving measures
• On the maximal monotonicity of subdifferential mappings
• From the long jump random walk to the fractional Laplacian
• The Schrödinger–Poisson System with Positive Potential
• Nonlinear Elliptic Equations with Right Hand Side Measures
• An Introduction to Partial Differential Equations
• Non-existence of solutions for some nonlinear elliptic equations involving measures
• Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity
• Schrödinger–Poisson systems with a general critical nonlinearity
• Nonlinear elliptic equations with measures revisited
• Deblurring and Denoising of Images by Nonlocal Functionals

This page was built for publication: Existence of solution for a system involving a singular-nonlocal operator, a singularity and a Radon measure