An Exact Multiplicity Result for a class of Semilinear Equations
Authors:
- 1 January 1997
- journal article
- research article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 22 (3-4) , 661-684
Abstract
For a class of Dirichlet problems in two dimensions, generalizing the model case we show existence of a critical so that there are exactly 0, 1 or 2 nontrivial solutions (in fact, positive), depending on whether We show that all solutions lie on a single smooth solution curve, and study some properties of this curve. We use bifurcation approach. The Curial thing is to show that any nontrivial solution of the corresponding linearized problem is of one sign.Keywords
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