Existence of solutions in weighted Sobolev spaces for some degenerate semilinear elliptic equations
β Scribed by A.C Cavalheiro
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 228 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0893-9659
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π SIMILAR VOLUMES
In this work we are interested in the existence of solutions for Dirichlet problems associated with the degenerate semilinear elliptic equations in the setting of the weighted Sobolev spaces W 1,2 0 (β¦, Ο).
The existence and multiplicity of positive solutions are obtained for a class of semilinear elliptic equations with critical weighted Hardy-Sobolev exponents and the concaveconvex nonlinearity by variational methods and some analysis techniques.
This paper deals with a class of degenerate quasilinear elliptic equations of the form -div(a(x, u, βu) = gdiv(f ), where a(x, u, βu) is allowed to be degenerate with the unknown u. We prove existence of bounded solutions under some hypothesis on f and g. Moreover we prove that there exists a renor
In this paper, we study the problem -div a(x; u; βu) -div (u) + g(x; u) = f in in the setting of the weighted sobolev space W 1;p 0 ( ; ). The main novelty of our work is L β estimates on the solutions, and the existence of a weak and renormalized solution.