English

Multiplicity result for mixed local and nonlocal Kirchhoff problem involving critical growth

Analysis of PDEs 2024-12-02 v3

Abstract

In this paper, we study the multiplicity of nonnegative solutions for mixed local and non-local problem involving critical nonlinearity with sign changing weight. Using Nehari manifold method and fibering map analysis, we have shown existence of two solutions.

Keywords

Cite

@article{arxiv.2411.17169,
  title  = {Multiplicity result for mixed local and nonlocal Kirchhoff problem involving critical growth},
  author = {V. M. Tripathi},
  journal= {arXiv preprint arXiv:2411.17169},
  year   = {2024}
}