Degree and global bifurcation for elliptic equations with multivalued unilateral conditions
✍ Scribed by Jan Eisner; Milan Kučera; Martin Väth
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 265 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0362-546X
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## Abstract In this paper we deal with boundary value problems equation image where __l__ : __C__^1^([__a, b__], ℝ^__k__^) → ℝ^__k__^ × ℝ^__k__^ is continuous, __μ__ ≤ 0 and __φ__ is a Caratheodory map. We define the class __S__ of maps __l__, for which a global bifurcation theorem holds for the
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.