Entire nodal solutions to the pure critical exponent problem for the p-Laplacian

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:265

Article

Clapp, Monica¹  Lopez Rios, Luis¹ 

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Ciudad Univ, Coyoacan 04510, Cdmx, Mexico

关键词: p-Laplacian;    Critical exponent;    Entire solutions;    Nodal solutions;    Variational methods;   

DOI  :  10.1016/j.jde.2018.03.015

来源: Elsevier

【 摘 要 】

We establish the existence of multiple sign-changing solutions to the quasilinear critical problem -Delta(p)u = vertical bar u vertical bar(p)*(-2)u, u is an element of D-1,D-p (R-N), for N >= 4, where Delta(p)u: = div(vertical bar Delta u vertical bar(P-2)Delta u) is the p-Laplace operator, 1 < p < N and p*: = Np/N-p is the critical Sobolev exponent. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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