Description

• Title:
  Existence of positive solutions for Hardy nonlocal fractional elliptic equations involving critical nonlinearities
• Creator:
  Rastegarzadeh, Somayeh;
  Nyamoradi, Nemat
• Description:
  In this paper, we have used variational methods to study existence of solutions for the following critical nonlocal fractional Hardy elliptic equation \begin{equation*} (- \Delta)^s u - \gamma \frac{u}{|x|^{2 s}} = \frac{|u|^{2_s^*(b) - 2} u}{|x|^{b}} + \lambda f (x, u ),\quad \text{in } \mathbb{R}^N, \end{equation*} where $N > 2 s $, $ 0< s< 1 $, $ \gamma, \lambda $ are real parameters, $(- \Delta)^s$ is the fractional Laplace operator, $2_s^*(b) = {2 (N - b)}/(N - 2s)$ is a critical Hardy-Sobolev exponent with $b \in [0, 2s)$ and $ f \in C(\mathbb{R^{N}} \times \mathbb{R}, \mathbb{R})$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.05.10
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 53, No 2 (June 2019); 731 - 746;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.021/17521 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.021/17522
• Subject:
  Nonlocal Laplacian operators;
  Hardy coefficients;
  Critical exponents;
  Mountain pass theorem;
  Variational methods;
  Primary;
  35R11;
  35A15;
  Secondary;
  35J60;
  47G20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.021
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other