Accession Number:

ADA139332

Title:

Bifurcation and Multiplicity Results for Nonlinear Elliptic Problems Involving Critical Sobolev Exponents.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1984-01-01

Pagination or Media Count:

19.0

Abstract:

This paper deals with the problem of existence of nontrivial solutions for a nonlinear elliptic boundary value problem in which the nonlinear term involves the critical Sobolev exponent, which is associated with a loss of compactness. The motivation for investigating this type of problem comes from the fact that mathematical models of some interesting problems in geometry Yamabes problem and in physics existence of nonminimal solutions for Yang-Mills functionals have this character and involve a lack of compactness. Variational arguments are used here to prove some bifurcation and multiplicity results for these problems.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE