A note on additional properties of sign changing solutions to superlinear elliptic equations
Keywords
Sign changing solutions, nodal domains, Morse index, subsolution, supersolutionAbstract
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.Downloads
Published
2003-09-01
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1.
BARTSCH, Thomas and WETH, Tobias. A note on additional properties of sign changing solutions to superlinear elliptic equations. Topological Methods in Nonlinear Analysis. Online. 1 September 2003. Vol. 22, no. 1, pp. 1 - 14. [Accessed 26 April 2024].
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