Hardy-Sobolev Type Equations for p-Laplacian, 1 < p < 2, in Bounded Domain

Details Hardy-Sobolev Type Equations for p-Laplacian, 1 < p < 2, in Bounded Domain Hardy-Sobolev Type Equations for p-Laplacian, 1 < p < 2, in Bounded Domain

2009-12-16

arxiv.org/abs/0912.3048v2

Mathematics

Analysis of PDEs

27 pages

Scientific paper

We study quasilinear degenerate singular elliptic equation of type -Delta_p u = \frac{u^{p^*(s)-1}}{|y|^t}$ in a smooth bounded domain \Omega in R^n=R^k \times R^{N-k}$, x=(y,z) in R^k \times R^{N-k}, 2 \leq k

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