On the existence of solutions for quasilinear elliptic problems with radial potentials on exterior ball | Zendy

Zhao Leiga | Zendy; Su Jiabao | Zendy; Wang Caiyun | Zendy

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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.

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