Some results on a nonlinear elliptic field equation involving the p-Laplacian
✍ Scribed by Teresa D’Aprile
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 336 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper, we consider a problem of the type: ) with div ( b) 6 0 and f:R → [0; +∞) is a continuous function satisfying ∃C0; C1 ¿ 0 such that C0|u| q 6 f(u) 6 C1|u| q ∀u ∈ R + for some q ¿ max p -1; 1 p-1 . We study some properties of the operatorp(:) + b : ∇(:) and study the problem of a prior
In this paper we use an algebraic topological argument due to Bahri and Coron to show how the topology of the domain in uences the existence of positive solutions of the following problem involving the bilaplacian operator with the critical Sobolev exponent 2 u = u n+4= (n-4