Infinitely many solutions for perturbed Kirchhoff type problems

In this paper, we discuss a superlinear Kirchhoff type problem where the non-linearity is not necessarily odd. By using variational and perturbative methods, we prove the existence of infinitely many solutions in the non-symmetric case.

Bibliographic Details
Main Author: Weibing Wang
Format: Article
Language:English
Published: University of Szeged 2019-05-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7396
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author Weibing Wang
author_facet Weibing Wang
author_sort Weibing Wang
collection DOAJ
description In this paper, we discuss a superlinear Kirchhoff type problem where the non-linearity is not necessarily odd. By using variational and perturbative methods, we prove the existence of infinitely many solutions in the non-symmetric case.
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spelling doaj.art-b02d9338353b4f13adf2beae54e975482023-05-09T07:53:09ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752019-05-0120193411110.14232/ejqtde.2019.1.347396Infinitely many solutions for perturbed Kirchhoff type problemsWeibing Wang0Hunan University of Science and Technology, Xiangtan, Hunan, P. R. ChinaIn this paper, we discuss a superlinear Kirchhoff type problem where the non-linearity is not necessarily odd. By using variational and perturbative methods, we prove the existence of infinitely many solutions in the non-symmetric case.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7396kirchhoff type probleminfinitely many solutionsperturbative method
spellingShingle Weibing Wang
Infinitely many solutions for perturbed Kirchhoff type problems
Electronic Journal of Qualitative Theory of Differential Equations
kirchhoff type problem
infinitely many solutions
perturbative method
title Infinitely many solutions for perturbed Kirchhoff type problems
title_full Infinitely many solutions for perturbed Kirchhoff type problems
title_fullStr Infinitely many solutions for perturbed Kirchhoff type problems
title_full_unstemmed Infinitely many solutions for perturbed Kirchhoff type problems
title_short Infinitely many solutions for perturbed Kirchhoff type problems
title_sort infinitely many solutions for perturbed kirchhoff type problems
topic kirchhoff type problem
infinitely many solutions
perturbative method
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7396
work_keys_str_mv AT weibingwang infinitelymanysolutionsforperturbedkirchhofftypeproblems