Existence of Blowing-up Solutions for a Nonlinear Elliptic Equation with Hardy Potential and Critical Growth

Authors :: Veronica Felli
Angela Pistoia
Felli, V
Pistoia, A
Source :: Communications in Partial Differential Equations. 31:21-56
Publication Year :: 2006
Publisher :: Informa UK Limited, 2006.
Abstract: We prove the existence of a positive solution to -Δu - λ/|x|2u = k(x)u2*-1, u ∈ script D sign1,2(IRN), which blows-up at a suitable critical point of k as the positive parameter λ goes to zero.

Subjects :: perturbation methods
Applied Mathematics
Mathematical analysis
Mathematics::Analysis of PDEs
Critical point (mathematics)
Blowing up
Nonlinear system
Elliptic curve
Hardy potential
Sobolev critical exponent
hardy potential
sobolev critical exponent
Perturbation method
Analysis
Mathematics

Full Text Access

Tools