3 papers
math.AP2025
Existence Theory for a class of semilinear mixed local and nonlocal equations involving variable singularities and singular measures
Sanjit Biswas, Prashanta Garain
This article establishes the existence of weak solutions for a class of mixed local-nonlocal problems with pure and perturbed singular nonlinearities. A key novelty is the treatmen…
math.AP2025
Multiplicity results for mixed local-nonlocal equations with singular and critical exponential nonlinearity in R^2
Sanjit Biswas
In this article, we prove the existence of at least two positive weak solutions for a mixed local-nonlocal singular problem in the presence of critical exponential nonlinearity in…
math.AP2024
Regularity and existence for semilinear mixed local-nonlocal equations with variable singularities and measure data
Sanjit Biswas, Prashanta Garain
This article proves the existence and regularity of weak solutions for a class of mixed local-nonlocal problems with singular nonlinearities. We examine both the purely singular pr…