English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

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<N and N \geq 3, 1<p<2,0\leq s\leq p, 0\leq t\leq s, p^*(s)=\frac{p(n-s)}{n-p}. We study existence ofsolution for t<s, non-existence in a star-shaped domain for t=s ands<k(\frac{p-1}{p}). We also show that solution is in C^{1,\al}(\Omega) for some0<\al<1 provided t<\frac{k}{N}(\frac{p-1}{p}). The regularity of solution canbe improved to the class W^{2,p}(\Omega) when t<k(\frac{p-1}{p}). We also studysome properties of the singular sets in a cylindrically symmetric domain usingthe method of symmetry.

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