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On the existence of solutions for quasilinear elliptic problems with radial potentials on exterior ball
Author(s) -
Zhao Leiga,
Su Jiabao,
Wang Caiyun
Publication year - 2016
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201400250
Subject(s) - mathematics , sobolev space , ball (mathematics) , embedding , mathematical analysis , nonlinear system , domain (mathematical analysis) , boundary value problem , elliptic curve , class (philosophy) , space (punctuation) , pure mathematics , physics , computer science , linguistics , philosophy , quantum mechanics , artificial intelligence
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 L s space, the existence of nontrivial solutions is obtained via variational methods.