A Priori Estimates and Existence Results for Some Semilinear Elliptic Problems.
Abstract
Problems arising in, for example, physics, biology and chemical reactors lead to boundary value problems for semilinear elliptic equations. The question of identifying for which nonlinearities these semilinear problems have solutions is by no means settled. Roughly speaking, nonlinearities which grow too rapidly yield unsolvable problems while under other conditions on the growth existence can be proved. Here we improve some conditions which were previously known to guarantee the existence of positive solutions of such problems.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1979
- Accession Number
- ADA077106
Entities
People
- Pierre Louis Lions
Organizations
- University of Wisconsin–Madison