English

Some quasilinear elliptic equations involving multiple $p$-Laplacians

Analysis of PDEs 2017-09-21 v2 Mathematical Physics math.MP

Abstract

This paper is devoted to the study, with variational technique, of (p,q)-Laplacian equations in presence of general nonlinearities. Especially we obtain the existence result for the zero mass case, which includes a large class of pure power nonlinearities. More general quasilinear problems of Born-Infeld type are also considered.

Keywords

Cite

@article{arxiv.1612.04533,
  title  = {Some quasilinear elliptic equations involving multiple $p$-Laplacians},
  author = {Alessio Pomponio and Tatsuya Watanabe},
  journal= {arXiv preprint arXiv:1612.04533},
  year   = {2017}
}

Comments

18 pages, some minor revisions

R2 v1 2026-06-22T17:23:17.222Z