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- Title
GROUND STATE SOLUTIONS FOR SEMILINEAR PROBLEMS WITH A SOBOLEV-HARDY TERM.
- Authors
XIAOLI CHEN; WEIYANG CHEN
- Abstract
In this article, we study the existence of solutions to the problem -∇u = λu + |u|²s*-2u/|y|s, x ∈ Ω, u = 0, x ∈ Ω where Ω is a smooth bounded domain in ℝN (N ≥ 3). We show that there is a ground state solution provided that N = 4 and λm < λ < λm+1, or that N ≥ 5 and λm ≤ λ < λm+1, where λm is the m'th eigenvalue of -Δ with Dirichlet boundary conditions.
- Subjects
BOUNDARY value problems; DIFFERENTIAL equations; EIGENVALUES; COMPLEX variables; MATHEMATICAL analysis
- Publication
Electronic Journal of Differential Equations, 2013, Vol 2013, p1
- ISSN
1550-6150
- Publication type
Article