Classification of positive solutions of semilinear elliptic equations. (English. Abridged French version) Zbl 1048.35020
The aim of this paper is to give a description of all bounded nonnegative solutions of an elliptic boundary value problem in a two-dimensional cone. The main result is to prove that all possible limiting behaviour are achieved by a unique solution, this fact being possible under a suitable nondegeneracy condition.
Reviewer: Maria Alessandra Ragusa (Catania)
MSC:
| 35J60 | Nonlinear elliptic equations |
| 35J25 | Boundary value problems for second-order elliptic equations |
References:
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