On the first exterior p-harmonic Steklov eigenvalue

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:434

Article

Han, Qi¹ 

[1] Worcester Polytech Inst, Dept Math Sci, Worcester, MA 01609 USA

关键词: Exterior region;    p-Laplacian;    Positive solution;    Steklov eigenvalue;   

DOI  :  10.1016/j.jmaa.2015.09.078

来源: Elsevier

【 摘 要 】

In this short paper we study the Sobolev function property of the Rayleigh's quotient delta(q) = inf(u is an element of E1,p(U)) parallel to u parallel to(p)(del)/parallel to u parallel to(p)(q,ou) as a function of q is an element of [1,p(*)] for p(*) = p(N-1)/N-P when p is an element of (1, N), as well as the asymptotic behavior of positive solutions with minimal energy of the following problem -Delta(p)u = 0 in U, subject to vertical bar del u vertical bar(p-2) partial derivative u/partial derivative v = lambda vertical bar u vertical bar(q-2)u on partial derivative U to the first p-harmonic Steklov eigenpair on an exterior region U not subset of R-N when N >= 3. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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