On coupled multiparameter nonlinear elliptic systems

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

This paper considers the system of nonlinear Dirichlet boundary value problems(Formula Presented) a bounded domain in Rn. Here L is a strongly, uniformly elliptic linear partial differential operator, », ε are real parameters, and f, g: R2 → R are smooth with f(0,0)=0=g(0,0) A detailed analysis of the solution set to the system is given from the point of view of several parameter bifurcation theory.

Original languageEnglish (US)
Pages (from-to)263-285
Number of pages23
JournalTransactions of the American Mathematical Society
Volume294
Issue number1
DOIs
StatePublished - 1986

Fingerprint

Nonlinear Elliptic Systems
Boundary value problems
Dirichlet Boundary Value Problem
Linear Differential Operator
Partial Differential Operators
Bifurcation Theory
Nonlinear Boundary Value Problems
Solution Set
Bounded Domain

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

On coupled multiparameter nonlinear elliptic systems. / Cantrell, Robert.

In: Transactions of the American Mathematical Society, Vol. 294, No. 1, 1986, p. 263-285.

Research output: Contribution to journalArticle

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