Nodal Solutions of the p-Laplacian with Sign-Changing Weight

We are concerned with determining values of , for which there exist nodal solutions of the boundary value problem , where is a sign-changing function, with . The proof of our main results is based upon global bifurcation techniques.

Saved in:
Bibliographic Details
Main Authors: Ruyun Ma, Xilan Liu, Jia Xu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/406350
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832552266444308480
author Ruyun Ma
Xilan Liu
Jia Xu
author_facet Ruyun Ma
Xilan Liu
Jia Xu
author_sort Ruyun Ma
collection DOAJ
description We are concerned with determining values of , for which there exist nodal solutions of the boundary value problem , where is a sign-changing function, with . The proof of our main results is based upon global bifurcation techniques.
format Article
id doaj-art-fa6f5d5437684eb1b11fbaadc1a5bfa9
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-fa6f5d5437684eb1b11fbaadc1a5bfa92025-02-03T05:59:14ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/406350406350Nodal Solutions of the p-Laplacian with Sign-Changing WeightRuyun Ma0Xilan Liu1Jia Xu2Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Qinghai University for Nationalities, Xining 810007, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaWe are concerned with determining values of , for which there exist nodal solutions of the boundary value problem , where is a sign-changing function, with . The proof of our main results is based upon global bifurcation techniques.http://dx.doi.org/10.1155/2013/406350
spellingShingle Ruyun Ma
Xilan Liu
Jia Xu
Nodal Solutions of the p-Laplacian with Sign-Changing Weight
Abstract and Applied Analysis
title Nodal Solutions of the p-Laplacian with Sign-Changing Weight
title_full Nodal Solutions of the p-Laplacian with Sign-Changing Weight
title_fullStr Nodal Solutions of the p-Laplacian with Sign-Changing Weight
title_full_unstemmed Nodal Solutions of the p-Laplacian with Sign-Changing Weight
title_short Nodal Solutions of the p-Laplacian with Sign-Changing Weight
title_sort nodal solutions of the p laplacian with sign changing weight
url http://dx.doi.org/10.1155/2013/406350
work_keys_str_mv AT ruyunma nodalsolutionsoftheplaplacianwithsignchangingweight
AT xilanliu nodalsolutionsoftheplaplacianwithsignchangingweight
AT jiaxu nodalsolutionsoftheplaplacianwithsignchangingweight