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- Title
Some Remarks on a Class of Nonuniformly Elliptic Equations of p-Laplacian Type.
- Authors
Ngô, Quốc-Anh; Hoang Quoc Toan
- Abstract
This paper deals with the existence of weak solutions in W(Ω) to a class of elliptic problems of the form in a bounded domain Ω of ℝ N. Here a satisfies for all ξ∈ℝ N, a.e. x∈Ω, $h_{0}\in L^{\frac{p}{{p-1}}}(\Omega)$ , h1∈ L(Ω), h1( x) ≧1 for a.e. x in Ω; λ1 is the first eigenvalue for −Δ p on Ω with zero Dirichlet boundary condition and g, h satisfy some suitable conditions.
- Subjects
LAPLACIAN operator; ELLIPTIC differential equations; PARTIAL differential equations; COMPLEX variables; NUMERICAL solutions to equations; NUMERICAL analysis; ELLIPTIC functions
- Publication
Acta Applicandae Mathematicae, 2009, Vol 106, Issue 2, p229
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-008-9291-6