Variational methods for indefinite superlinear homogeneous elliptic problems
✍ Scribed by Henri Berestycki; Italo Capuzzo-Dolcetta; Louis Nirenberg
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 1995
- Tongue
- English
- Weight
- 873 KB
- Volume
- 2
- Category
- Article
- ISSN
- 1021-9722
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We prove the existence of a nontrivial solution for a nonlinear elliptic problem &2u=+u+a(x) g(u) with Dirichlet boundary condition on a bounded domain, where g is superlinear both at zero and at infinity, a(x) changes sign and +>0.
In this work we study existence and multiplicity questions for positive solutions of second-order semilinear elliptic boundary value problems, where the nonlinearity is multiplied by a weight function which is allowed to change sign and vanish on sets of positive measure. We do not impose a variatio