A Multiplicity Result for Some Integro-differential Biharmonic Equation in R4

Authors

  • Sami Aouaoui Institut Supérieur des Mathématiques Appliquées et de l’Informatique de Kairouan Avenue Assad Iben Fourat, 3100 Kairouan, Tunisie

DOI:

https://doi.org/10.4208/jpde.v29.n2.2

Keywords:

Integro-differential;exponential growth;iterative scheme;multiplicity;radial solution;nonradial solution;Adams inequality;principle of symmetric criticality

Abstract

In this paper, we prove the existence of at least three nontrivial solutions for some biharmonic elliptic equation involving an integral term. The nonlinear term exhibits an exponential growth at infinity. Our method consists of a combination between variational tools and iterative technique.

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Published

2016-07-05

Issue

Vol. 29 No. 2 (2016)

Section

Articles