4 citations · 20 across the 44 of their papers we have counts for
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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…
Symmetry, existence and regularity results for a class of mixed local-nonlocal semilinear singular elliptic problem via variational characterization
Gurdev Chand Anthal, Prashanta Garain
In this article, we present the symmetry of weak solutions to a mixed local-nonlocal singular problem. We also establish results related to the existence, nonexistence, and regular…
Some qualitative and quantitative properties of weak solutions to mixed anisotropic and nonlocal quasilinear elliptic and doubly nonlinear parabolic equations
Prashanta Garain
This article is divided into two parts. In the first part, we examine the Brezis-Oswald problem involving a mixed anisotropic and nonlocal -Laplace operator. We establish result…
Higher Hölder regularity for a subquadratic nonlocal parabolic equation
Prashanta Garain, Erik Lindgren, Alireza Tavakoli
In this paper, we are concerned with the Hölder regularity for solutions of the nonlocal evolutionary equation Here, is the fractional…
On the weighted Steklov eigenvalue problems in outward cuspidal domains
Prashanta Garain, Vladimir Gol'dshtein, Alexander Ukhlov
In this article, we investigate the weighted Steklov eigenvalue problem and the weighted Schrödinger--Steklov eigenvalue problem in outward cuspidal domains. We prove the solvabili…