Accession Number:

ADA046390

Title:

On Some Existence Theorems for Semi-Linear Elliptic Equations.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1977-07-01

Pagination or Media Count:

19.0

Abstract:

Boundary value problems for semilinear elliptic equations are considered. If the nonlinear terms do not grow too fast as a function of the gradient of the dependent variable and ordered upper and lower solutions are known, then maximal and minimal solutions can be obtained by an iteration procedure. Other results concerning the existence of additional solutions follow from topological principles.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE