Affiliation:
1. School of Mathematical Sciences , Beijing Normal University , Beijing 100875 , P. R. China
Abstract
Abstract
In this article, we first study the existence of nontrivial solutions to the nonlocal elliptic problems in
ℝ
N
{\mathbb{R}^{N}}
involving fractional Laplacians and the Hardy–Sobolev–Maz’ya potential.
Using variational methods, we investigate the attainability of the corresponding minimization problem, and then obtain the existence of solutions.
We also consider another Choquard type equation involving the p-Laplacian and critical nonlinearities in
ℝ
N
{\mathbb{R}^{N}}
.
Subject
General Mathematics,Statistical and Nonlinear Physics
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