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math.AP2022★ 1 cited
Higher Hölder regularity for mixed local and nonlocal degenerate elliptic equations
Prashanta Garain, Erik Lindgren
We consider equations involving a combination of local and nonlocal degenerate -Laplace operators. The main contribution of the paper is almost Lipschitz regularity for the homo…
math.AP2022
On regularity and existence of weak solutions to nonlinear Kolmogorov-Fokker-Planck type equations with rough coefficients
Prashanta Garain, Kaj Nyström
We consider nonlinear Kolmogorov-Fokker-Planck type equations of the form \begin{equation}\label{abeqn} (\partial_t+X\cdot\nabla_Y)u=\nabla_X\cdot(A(\nabla_X u,X,Y,t)). \end{equati…
math.AP2022
On an anisotropic double phase problem with singular and sign changing nonlinearity
Prashanta Garain, Tuhina Mukherjee
This article consists of study of anisotropic double phase problems with singular term and sign changing subcritical as well as critical nonlinearity. Seeking the help of well know…