Positive solutions for elliptic problems with critical nonlinearity and combined singularity.

Autor:	Chen, Jianqing
Další autoři:	Rocha, Eugénio M.
Jazyk:	angličtina
Předmět:	parciální diferenciální rovnice eliptické diferenciální rovnice partial differential equations elliptic differential equations články journal articles multiple positive solutions singular nonlinearity critical nonlinearity Hardy term
Druh dokumentu:	Non-fiction
Abstrakt:	Abstract: Consider a class of elliptic equation of the form -\Delta u - {\lambda\over{|x|^2}}u = u^{2^\ast-1} + \mu u^{-q}\quadin \Omega\backslash\{0\} with homogeneous Dirichlet boundary conditions, where $0\in\Omega\subset\mathbb{R}^N$($N\geq3$), $0 < q < 1$, $0 < \lambda<(N-2)^2/4$ and $2^\ast= 2N/(N-2)$. We use variational methods to prove that for suitable $\mu$, the problem has at least two positive weak solutions.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Online Access Online Access