Nontrivial solutions for p-Laplacian systems

D. D. Hai, Haiyan Wang

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

The paper deals with the existence and nonexistence of nontrivial nonnegative solutions for the sublinear quasilinear systemdiv (| ∇ ui |p - 2 ∇ ui) + λ fi (u1, ..., un) = 0 in  Ω, ui = 0 on  ∂ Ω, i = 1, ..., n, where p > 1, Ω is a bounded domain in RN (N ≥ 2) with smooth boundary, and fi, i = 1, ..., n, are continuous, nonnegative functions. Let u = (u1, ..., un), {norm of matrix} u {norm of matrix} = ∑i = 1 n

Original languageEnglish (US)
Pages (from-to)186-194
Number of pages9
JournalJournal of Mathematical Analysis and Applications
Volume330
Issue number1
DOIs
StatePublished - Jun 1 2007

Fingerprint

P-Laplacian Systems
Nontrivial Solution
Norm
Nonnegative Solution
Nonexistence
Bounded Domain
Non-negative

Keywords

  • Elliptic system
  • p-Laplacian
  • Schauder Fixed-Point Theorem

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Nontrivial solutions for p-Laplacian systems. / Hai, D. D.; Wang, Haiyan.

In: Journal of Mathematical Analysis and Applications, Vol. 330, No. 1, 01.06.2007, p. 186-194.

Research output: Contribution to journalArticle

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