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math.AP2020
Regularity results for Choquard equations involving fractional -Laplacian
Reshmi Biswas, Sweta Tiwari
In this article, first we address the regularity of weak solution for a class of -fractional Choquard equations: \begin{equation*} \;\;\; \left.\begin{array}{rl} (-Δ)_p^su&=\lef…
math.AP2020
On a class of Kirchhoff-Choquard equations involving variable-order fractional Laplacian and without Ambrosetti-Rabinowitz type condition
Reshmi Biswas, Sweta Tiwari
In this article we study the existence of weak solution, existence of ground state solution using Nehari manifold and existence of infinitely many solutions using Fountain theorem…
math.AP2020
Nehari manifold for fractional p(.)-Laplacian system involving concave-convex nonlinearities
Reshmi Biswas, Sweta Tiwari
In this article using Nehari manifold method we study the multiplicity of solutions of the following nonlocal elliptic system involving variable exponents and concave-convex nonlin…