Sekhar Ghosh

ArticleInfinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity
Complex Variables and Elliptic Equations (in press), 2020
- Fractional p(·)-Laplacian
- Variable Order Fractional Sobolev Space
- Genus
- Symmetric Mountain Pass Theorem
- Singularity
Posted by: Sekhar Ghosh

DOI arXiv fulltextMSC 2010: 35R11 35J60 35J75 46E35
ArticleExistence of infinitely many solutions for a nonlocal elliptic PDE involving singularity
- Debajyoti Choudhuri,
- Sekhar Ghosh
Positivity 24 (2), 463-479, 2020
- Elliptic PDE
- Genus
- PS condition
- Symmetric Mountain Pass Theorem
- Singularity
Posted by: Sekhar Ghosh

DOI arXiv fulltextMSC 2010: 35R11 35J20 35J60 35J75
ArticleLeast energy sign-changing solution to a fractional p-Laplacian problem involving singularities
Dynamics of Partial Differential Equations 17 (2), 97-115, 2020
- Sign-changing solutions
- Fractional p-Laplacian
- Nehari manifold
- Brouwer degree
- Singularity
Posted by: Sekhar Ghosh

DOI arXiv fulltextMSC 2010: 35R11 35J75 35J92 35A15
ArticleMultiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity
Journal of Mathematical Physics 60 (10), 101509, 28 pp., 2019
- Elliptic PDE
- PS condition
- Mountain Pass theorem
- Gˆateaux derivative
- Fractional p-Laplacian
- Singularity
Posted by: Sekhar Ghosh

DOI arXiv fulltextMSC 2010: 35R11 35J35 35J60 35J75
ArticleMultiplicity Of Solutions To An Elliptic Problem With Singularity And Measure Data
Electronic Journal of Differential Equations (EJDE) 60, 21 pp, 2019
- Elliptic PDEs
- p-Laplacian
- Radon measure
- Singularity
Posted by: Sekhar Ghosh

arXiv fulltextMSC 2010: 35R06 35J35 35J60 35J75
ArticleSingular Nonlocal Problem Involving Measure Data
Bulletin of the Brazilian Mathematical Society 50 (1), 187-209, 2019
- Elliptic PDE
- Fractional Sobolev space
- Schauder Fixed Point Theorem
Posted by: Sekhar Ghosh

DOI fulltextMSC 2010: 35R11 35R06 35J60 35J75
ArticleElliptic Partial Differential Equation Involving a Singularity and a Radon Measure
The Journal of the Indian Mathematical Society. New Series 86 (1-2), 95-117, 2019
- Elliptic PDE
- Sobolev Space
- Schauder Fixed Point Theorem
Posted by: Sekhar Ghosh

DOI arXiv fulltextMSC 2010: 35R06 35J75 35J60 35J25

ArticleInfinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity

ArticleExistence of infinitely many solutions for a nonlocal elliptic PDE involving singularity

ArticleLeast energy sign-changing solution to a fractional p-Laplacian problem involving singularities

ArticleMultiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity

ArticleMultiplicity Of Solutions To An Elliptic Problem With Singularity And Measure Data

ArticleSingular Nonlocal Problem Involving Measure Data

ArticleElliptic Partial Differential Equation Involving a Singularity and a Radon Measure

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