Multiple solutions for a class of $p(x)$-Laplacian equations
 involving the critical exponent

Xing Zhang; Xia Zhang; Yongqiang Fu

doi:10.4064/ap98-1-6

Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty

Multiple solutions for a class of $p(x)$-Laplacian equations involving the critical exponent

Tom 98 / 2010

Xing Zhang, Xia Zhang, Yongqiang Fu Annales Polonici Mathematici 98 (2010), 91-102 MSC: Primary 35J60. DOI: 10.4064/ap98-1-6

Streszczenie

We study the multiplicity of solutions for a class of $p(x)$-Laplacian equations involving the critical exponent. Under suitable assumptions, we obtain a sequence of radially symmetric solutions associated with a sequence of positive energies going toward infinity.

Autorzy

Xing ZhangDepartment of Mathematics
Harbin Institute of Technology
Harbin 150001, China
Xia ZhangDepartment of Mathematics
Harbin Institute of Technology
Harbin 150001, China
e-mail
Yongqiang FuDepartment of Mathematics
Harbin Institute of Technology
Harbin 150001, China

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