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math.AP2021★ 3 cited
Weighted anisotropic Sobolev inequality with extremal and associated singular problems
Kaushik Bal, Prashanta Garain
For a given Finsler-Minkowski norm in and a bounded smooth domain , we establish the following weighted aniso…
math.AP2021
On an anisotropic p-Laplace equation with variable singular exponent
Kaushik Bal, Prashanta Garain, Tuhina Mukherjee
In this article, we study the following anisotropic p-Laplacian equation with variable exponent given by \begin{equation*} (P)\left\{\begin{split} -Δ_{H,p}u&=\frac{\la f(x)}{u^{q(x…