In this paper, we consider positive classical solutions of h(s) is locally bounded in (0, ∞) and h(s)s -(1+ 2 ν ) is non-decreasing in (0, ∞) for the same ν. We get that the possible solution only depends on t, and several corollaries that include previous results of various authors are established
Positive solutions of linear elliptic equations with critical growth in the Neumann boundary condition
✍ Scribed by Miroslav Chlebíl; Marek Fila; Wolfgang Reichel
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2003
- Tongue
- English
- Weight
- 233 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1021-9722
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📜 SIMILAR VOLUMES
In this paper, Neumann problem for nonlinear elliptic equations with critical Sobolev exponents and Hardy terms is studied by variational method. Based on the variant of the mountain pass theorem of Ambrosetti and Rabinowitz without (PS) condition, we prove the existence of positive solutions.
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