On the existence of solutions for quasilinear elliptic problems with radial potentials on exterior ball
Corresponding Author
Leiga Zhao
Department of Mathematics, Beijing University of Chemical Technology, Beijing, 100029 People's Republic of China
Corresponding author: e-mail: [email protected]., Phone: +86 010 68904778Search for more papers by this authorJiabao Su
School of Mathematical Sciences, Capital Normal University, Beijing, 100037 People's Republic of China
Search for more papers by this authorCaiyun Wang
Basic Teaching Department, Century College, Beijing University of Posts and Telecommunications, Beijing, 102101 People's Republic of China
Search for more papers by this authorCorresponding Author
Leiga Zhao
Department of Mathematics, Beijing University of Chemical Technology, Beijing, 100029 People's Republic of China
Corresponding author: e-mail: [email protected]., Phone: +86 010 68904778Search for more papers by this authorJiabao Su
School of Mathematical Sciences, Capital Normal University, Beijing, 100037 People's Republic of China
Search for more papers by this authorCaiyun Wang
Basic Teaching Department, Century College, Beijing University of Posts and Telecommunications, Beijing, 102101 People's Republic of China
Search for more papers by this authorAbstract
In this paper, we are concerned with a class of quasilinear elliptic problems with radial potentials and a mixed nonlinear boundary condition on exterior ball domain. Based on a compact embedding from a weighted Sobolev space to a weighted Ls space, the existence of nontrivial solutions is obtained via variational methods.
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