Existence of positive solutions for a singular elliptic problem with critical exponent and measure data
From MaRDI portal
Publication:1983227
DOI10.1216/RMJ.2021.51.973zbMath1473.35236arXiv2002.11393OpenAlexW3189776940MaRDI QIDQ1983227
Debajyoti Choudhuri, Ratan Kumar Giri, Akasmika Panda
Publication date: 10 September 2021
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.11393
Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations
- Nonlocal problems at nearly critical growth
- Hitchhiker's guide to the fractional Sobolev spaces
- Nonlocal problems with singular nonlinearity
- On a new class of fractional partial differential equations
- Nonlinear elliptic and parabolic equations involving measure data
- A multi-phase transition model for dislocations with interfacial microstructure
- Brezis-Nirenberg type theorems and multiplicity of positive solutions for a singular elliptic problem
- Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
- Digital picture processing. An introduction. Transl. from the Russian
- On the variational principle
- Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
- A Brezis-Nirenberg result for non-local critical equations in low dimension
- Positive solutions of fractional elliptic equation with critical and singular nonlinearity
- Nonlocal equations with measure data
- A Brezis-Nirenberg splitting approach for nonlocal fractional equations
- Lower semicontinuity of functionals of fractional type and applications to nonlocal equations with critical Sobolev exponent
- Semilinear elliptic equations with singular nonlinearities
- Singular nonlocal problem involving measure data
- Nonlocal Operators with Applications to Image Processing
- On a Singular Nonlinear Elliptic Boundary-Value Problem
- Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity
- Deblurring and Denoising of Images by Nonlocal Functionals
- The Brezis-Nirenberg result for the fractional Laplacian
This page was built for publication: Existence of positive solutions for a singular elliptic problem with critical exponent and measure data