Infinitely many symmetric solutions for anisotropic problems driven by nonhomogeneous operators

Dušan D. Repovš

doi:10.3934/dcdss.2019026

Article Contents

2019, Volume 12, Issue 2: 401-411. Doi: 10.3934/dcdss.2019026

This issue Previous Article Critical Schrödinger-Hardy systems in the Heisenberg group Next Article A critical fractional p-Kirchhoff type problem involving discontinuous nonlinearity

Infinitely many symmetric solutions for anisotropic problems driven by nonhomogeneous operators

Dušan D. Repovš

Faculty of Education and Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia

Received: June 2017

Revised: December 2017

Published: April 2019

This work was supported by the Slovenian Research Agency grants P1-0292, J1-8131 and J1-7025.

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Abstract

We are concerned with the existence of infinitely many radial symmetric solutions for a nonlinear stationary problem driven by a new class of nonhomogeneous differential operators. The proof relies on the symmetric version of the mountain pass theorem.

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Mathematics Subject Classification: Primary: 35J60; Secondary: 35A15, 35B38, 47H14, 58E05.

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