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Volume 29, Issue 2
A Multiplicity Result for Some Integro-differential Biharmonic Equation in R4

Sami Aouaoui

DOI: 10.4208/jpde.v29.n2.2

J. Part. Diff. Eq., 29 (2016), pp. 102-115.

Published online: 2016-07

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  • 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.
  • Keywords

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

  • AMS Subject Headings

35A25, 35D30, 35J35, 35J62, 35J70

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

sami_aouaoui@yahoo.fr (Sami Aouaoui)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-29-102, author = {Aouaoui , Sami}, title = {A Multiplicity Result for Some Integro-differential Biharmonic Equation in R4}, journal = {Journal of Partial Differential Equations}, year = {2016}, volume = {29}, number = {2}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v29.n2.2}, url = {http://global-sci.org/intro/article_detail/jpde/5082.html} }
TY - JOUR T1 - A Multiplicity Result for Some Integro-differential Biharmonic Equation in R4 AU - Aouaoui , Sami JO - Journal of Partial Differential Equations VL - 2 SP - 102 EP - 115 PY - 2016 DA - 2016/07 SN - 29 DO - http://doi.org/10.4208/jpde.v29.n2.2 UR - https://global-sci.org/intro/article_detail/jpde/5082.html KW - Integro-differential KW - exponential growth KW - iterative scheme KW - multiplicity KW - radial solution KW - nonradial solution KW - Adams inequality KW - principle of symmetric criticality AB - 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.
Aouaoui , Sami. (2016). A Multiplicity Result for Some Integro-differential Biharmonic Equation in R4. Journal of Partial Differential Equations. 29 (2). 102-115. doi:10.4208/jpde.v29.n2.2
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