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

In this paper we study the concentration profile of various kind of symmetricsolutions of some semilinear elliptic problems arising in astrophysics and indiffusion phenomena. Using a reduction method we prove that doubly symmetricpositive solutions in a $2m$-dimensional ball must concentrate and blow up on$(m-1)$-spheres as the concentration parameter tends to infinity. We alsoconsider axially symmetric positive solutions in a ball in $\mathbb{R}^N$, $N\geq 3$, and show that concentration and blow up occur on two antipodal points,as the concentration parameter tends to infinity.

H\'enon type equations and concentration on spheres