Existence of a Sign-Changing Solution to a Superlinear Dirichlet Problem
Description:
We study the existence, multiplicity, and nodal structure of solutions to a superlinear elliptic boundary value problem. Under specific hypotheses on the superlinearity, we show that there exist at least three nontrivial solutions. A pair of solutions are of one sign (positive and negative respectively), and the third solution changes sign exactly once. Our technique is variational, i.e., we study the critical points of the associated action functional to find solutions. First, we define a codi…
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Date:
August 1995
Creator:
Neuberger, John M. (John Michael)
Partner:
UNT Libraries