Existence and Nonexistence of Positive Solutions of Indefinite Elliptic Problems in $\rz^N$

Details Existence and Nonexistence of Positive Solutions of Indefinite Elliptic Problems in $\rz^N$ Existence and Nonexistence of Positive Solutions of Indefinite Elliptic Problems in $\rz^N$

2002-06-07

arxiv.org/abs/math/0206070v1

Mathematics

Analysis of PDEs

24 pages

Scientific paper

Our purpose is to find positive solutions $u \in D^{1,2}(\rz^N)$ of the semilinear elliptic problem $-\laplace u - \lambda V(x) u = h(x) u^{p-1}$ for $2

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