A note on additional properties of sign changing solutions to superlinear elliptic equations
- 1 September 2003
- journal article
- Published by Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University in Topological Methods in Nonlinear Analysis
- Vol. 22 (1) , 1-14
- https://doi.org/10.12775/tmna.2003.025
Abstract
We obtain upper bounds for the number of nodal domains of sign changing solutions of semilinear elliptic Dirichlet problems using suitable min-max descriptions. These are consequences of a generalization of Courant's nodal domain theorem. The solutions need not to be isolated. We also obtain information on the Morse index of solutions and the location of sub- and supersolutions.Keywords
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