Radial Solutions to A Nonlinear P-Harmonic Dirichlet Problem

Ratph Saxton, Dongming Wei

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We examine the nonlinear ordinary differential equation corresponding to radial solutions of the Dirichlet problem [formula omitted], where B = {x Є Rn: |x| ≤ 1}. It is shown that for p and q satisfying the subcritical Sobolev embedding condition, the problem exhibits infinitely many solutions. Several properties of these solutions are presented, including detailed regularity results.

Original languageEnglish
Pages (from-to)59-80
Number of pages22
JournalApplicable Analysis
Volume51
Issue number1-4
DOIs
Publication statusPublished - Dec 1 1993
Externally publishedYes

Fingerprint

Sobolev Embedding
P-harmonic
Infinitely Many Solutions
Radial Solutions
Nonlinear Ordinary Differential Equations
Dirichlet Problem
Regularity
Ordinary differential equations

Keywords

  • multiplicity
  • regularity of solutions
  • Shooting method

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Radial Solutions to A Nonlinear P-Harmonic Dirichlet Problem. / Saxton, Ratph; Wei, Dongming.

In: Applicable Analysis, Vol. 51, No. 1-4, 01.12.1993, p. 59-80.

Research output: Contribution to journalArticle

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