Search

Your search keyword '"Chakraborty Souptik"' showing total 2 results
Start Over Author "Chakraborty Souptik" Topic 35j60
2 results on '"Chakraborty Souptik"'

1. Fractional Hardy-Sobolev equations with nonhomogeneous terms

Author

Bhakta Mousomi, Chakraborty Souptik, and Pucci Patrizia

Subjects
nonlocal equations, fractional laplacian, hardy-sobolev equations, profile decomposition, palais-smale decomposition, energy estimate, positive solutions, min-max method, 35r11, 35a15, 35b33, 35j60, Analysis, QA299.6-433
Abstract

This paper deals with existence and multiplicity of positive solutions to the following class of nonlocal equations with critical nonlinearity:

Published
2021
Full Text
View/download PDF

2. Nonhomogeneous systems involving critical or subcritical nonlinearities

Author

Bhakta, Mousomi, Chakraborty, Souptik, and Pucci, Patrizia

Subjects
Nonlocal system of equations, fractional Laplacian, positive solutions, nontrivial solution, local minimum, positive solutions, 35B33, 35J50, 35R11, 35J47, 35A15, 35B33, 35J60, Applied Mathematics, Mathematics::Analysis of PDEs, 35J50, nontrivial solution, 35A15, 35J60, 35R11, Mathematics - Analysis of PDEs, Nonlocal system of equations, 35J47, FOS: Mathematics, local minimum, fractional Laplacian, Analysis, Analysis of PDEs (math.AP)
Abstract

This paper deals with existence of a nontrivial positive solution to systems of equations involving nontrivial nonhomogeneous terms and critical or subcritical nonlinearities. Via a minimization argument we prove existence of a positive solution whose energy is negative provided that the nonhomogeneous terms are small enough in the dual norm., Comment: 11 pages

Published
2020
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results