Existence of solutions for quasilinear elliptic systems involving critical exponents and Hardy terms

Using variational methods, including the Ljusternik-Schnirelmann theory, we prove the existence of solutions for quasilinear elliptic systems with critical Sobolev exponents and Hardy terms.

Bibliographic Details
Main Author: Dengfeng Lu
Format: Article
Language:English
Published: Texas State University 2013-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/35/abstr.html
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author Dengfeng Lu
author_facet Dengfeng Lu
author_sort Dengfeng Lu
collection DOAJ
description Using variational methods, including the Ljusternik-Schnirelmann theory, we prove the existence of solutions for quasilinear elliptic systems with critical Sobolev exponents and Hardy terms.
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spelling doaj.art-b29584adda5e48ed8664e25c27b1ce5c2022-12-22T01:48:53ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-01-01201335,117Existence of solutions for quasilinear elliptic systems involving critical exponents and Hardy termsDengfeng LuUsing variational methods, including the Ljusternik-Schnirelmann theory, we prove the existence of solutions for quasilinear elliptic systems with critical Sobolev exponents and Hardy terms.http://ejde.math.txstate.edu/Volumes/2013/35/abstr.htmlQuasilinear elliptic systemvariational methodcritical exponentHardy termmultiple solutions
spellingShingle Dengfeng Lu
Existence of solutions for quasilinear elliptic systems involving critical exponents and Hardy terms
Electronic Journal of Differential Equations
Quasilinear elliptic system
variational method
critical exponent
Hardy term
multiple solutions
title Existence of solutions for quasilinear elliptic systems involving critical exponents and Hardy terms
title_full Existence of solutions for quasilinear elliptic systems involving critical exponents and Hardy terms
title_fullStr Existence of solutions for quasilinear elliptic systems involving critical exponents and Hardy terms
title_full_unstemmed Existence of solutions for quasilinear elliptic systems involving critical exponents and Hardy terms
title_short Existence of solutions for quasilinear elliptic systems involving critical exponents and Hardy terms
title_sort existence of solutions for quasilinear elliptic systems involving critical exponents and hardy terms
topic Quasilinear elliptic system
variational method
critical exponent
Hardy term
multiple solutions
url http://ejde.math.txstate.edu/Volumes/2013/35/abstr.html
work_keys_str_mv AT dengfenglu existenceofsolutionsforquasilinearellipticsystemsinvolvingcriticalexponentsandhardyterms