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Existence of an elliptic system involving Pucci operator

✍ Scribed by Jianfu Yang; Xiaohui Yu

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
227 KB
Volume
21
Category
Article
ISSN
0893-9659

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✦ Synopsis

We study the existence of solutions for the nonlinear elliptic system

where Ω is a bounded domain, f 1 is superlinear and f 2 is sublinear at zero and infinity, h 1 and h 2 are perturbation terms. We will show that the system has at least two semi-trivial solutions (u, 0), (0, v) and a nontrivial solution (u * , v * ).

πŸ“œ SIMILAR VOLUMES

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Let Ω βŠ‚ R N (N > 1) be a bounded domain. In this work we are interested in finding a renormalized solution to the following elliptic system where the diffusion matrix A 2 blows up for a finite value of the unknown, say u 2 = s 0 < 0. We also consider homogeneous Dirichlet boundary conditions for b

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