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

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 (Yamabe's 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.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1984
Accession Number
ADA139332

Entities

People

  • D. Fortunato
  • G. Cerami
  • M. Struwe

Organizations

  • University of Wisconsin–Madison

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  • Boundary Value Problems
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  • Differential Equations
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  • Mathematics

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