A Multiplicity Result for Some Integro-differential Biharmonic Equation in R<sup>4</sup>

A Multiplicity Result for Some Integro-differential Biharmonic Equation in R<sup>4</sup>

Year:    2016

Author:    Sami Aouaoui

Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 2 : pp. 102–115

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 2 : pp. 102–115

Published online:    2016-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Integro-differential

Author Details

Sami Aouaoui

  1. Adams’ type inequality and application to a quasilinear nonhomogeneous equation with singular and vanishing radial potentials in $$ \mathbb {R}^4 $$ R 4

    Aouaoui, Sami | Albuquerque, Francisco S. B.

    Annali di Matematica Pura ed Applicata (1923 -), Vol. 198 (2019), Iss. 4 P.1331

    https://doi.org/10.1007/s10231-018-00821-w [Citations: 5]
  2. On some local-nonlocal elliptic equation involving nonlinear terms with exponential growth

    Aouaoui, Sami

    Communications on Pure & Applied Analysis, Vol. 16 (2017), Iss. 5 P.1767

    https://doi.org/10.3934/cpaa.2017086 [Citations: 0]