Remarks on variational methods and lower-upper solutions |
| |
| Authors: | Monica Conti Luca Merizzi Susanna Terracini |
| |
| Affiliation: | (1) Università di Milano, via Saldini 50-I-20133 Milano, Italy , IT;(2) Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133 Milano, |
| |
| Abstract: | The presence of lower and upper solutions to semilinear elliptic equations is linked to some variational properties of the associated action functionals. We exploit this variational characterization to find existence and multiplicity of solutions when multiple lower and upper solutions are given in various ordering relations. Received July 1998 |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
