Nonhomogeneous elliptic equations involving critical Sobolev exponent and weight
Texas State University, Department of Mathematics
In this article we consider the problem -div(p(x)∇u) = |u|2*-2 u + λƒ in Ω u = 0 on ∂Ω where Ω is a bounded domain in ℝN, We study the relationship between the behavior of p near its minima on the existence of solutions.
Critical Sobolev exponent, Nehari manifold, Variational principle
Bouchekif, M., & Rimouche, A. (2016). Nonhomogeneous elliptic equations involving critical Sobolev exponent and weight. <i>Electronic Journal of Differential Equations, 2016</i>(08), pp. 1-12.