On the existence and regularity of vector solutions for quasilinear systems with linear coupling

Yong Ao; Jiaqi Wang; Wenming Zou

On the existence and regularity of vector solutions for quasilinear systems with linear coupling

Analysis of PDEs 2018-01-22 v1

Authors: Yong Ao , Jiaqi Wang , Wenming Zou

Abstract

We study a class of linearly coupled system of quasilinear equations. Under some assumptions on the nonlinear terms, we establish some results about the existence and regularity of vector solutions for the p-Laplacian systems by using variational methods. In particular, we get two pairs of nontrivial solutions. We also study their different asymptotic behavior of solutions as the coupling parameter tends to zero.

Keywords

quasilinear systems linear coupling p-laplacian vector solutions variational methods asymptotic behavior

Cite

@article{arxiv.1801.06307,
  title  = {On the existence and regularity of vector solutions for quasilinear systems with linear coupling},
  author = {Yong Ao and Jiaqi Wang and Wenming Zou},
  journal= {arXiv preprint arXiv:1801.06307},
  year   = {2018}
}

Comments

23 pages; It has been accepted for publication in SCIENCE CHINA Mathematics

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