2017
Том 69
№ 5

All Issues

Solutions of the Quasilinear Elliptic Systems with Combined Critical Sobolev–Hardy Terms

Nyamoradi N.


Abstract

We study the existence of multiple solutions for a quasilinear elliptic system. Based on the Ambrosetti–Rabinowitz mountain-pass theorem and the Rabinowitz symmetric mountain-pass theorem, we establish several existence and multiplicity results for the solutions and G-symmetric solutions under certain suitable conditions.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 6, pp 891-915.

Citation Example: Nyamoradi N. Solutions of the Quasilinear Elliptic Systems with Combined Critical Sobolev–Hardy Terms // Ukr. Mat. Zh. - 2015. - 67, № 6. - pp. 788-808.