The Neumann problem for a class of generalized Kirchhoff-type potential systems
Analysis of PDEs
2023-03-06 v1 Functional Analysis
Abstract
In this paper, we are concerned with the Neumann problem for a class of quasilinear stationary Kirchhoff-type potential systems, which involves general variable exponents elliptic operators with critical growth and real positive parameter. We show that the problem has at least one solution, which converges to zero in the norm of the space as the real positive parameter tends to infinity, via combining the truncation technique, variational method, and the concentration-compactness principle for variable exponent under suitable assumptions on the nonlinearities.
Cite
@article{arxiv.2303.01756,
title = {The Neumann problem for a class of generalized Kirchhoff-type potential systems},
author = {Nabil Chems Eddine and Dušan D. Repovš},
journal= {arXiv preprint arXiv:2303.01756},
year = {2023}
}