On some local-nonlocal elliptic equation involving nonlinear terms with exponential growth

Sami Aouaoui

doi:10.3934/cpaa.2017086

Article Contents

2017, Volume 16, Issue 5: 1767-1784. Doi: 10.3934/cpaa.2017086

This issue Previous Article Semilinear nonlocal elliptic equations with critical and supercritical exponents Next Article Segregated vector Solutions for nonlinear Schrödinger systems with electromagnetic potentials

On some local-nonlocal elliptic equation involving nonlinear terms with exponential growth

Sami Aouaoui^,

Institut Supérieur des Mathématiques Appliquées et de l'Informatique de Kairouan, Avenue Assad Iben Fourat, 3100 Kairouan, Tunisie

* Corresponding author
* Corresponding author

Received: September 30, 2016

Revised: February 28, 2017

Published: October 2017

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Abstract

In this paper, we prove the existence of multiple solutions to some intermediate local-nonlocal elliptic equation in the whole two dimensional space. The nonlinearities exhibit an exponential growth at infinity.

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Mathematics Subject Classification: Primary: 35A25, 35D30, 35J20, 35J60, 35J91.

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