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 prove the exact multiplicity of flat and compact support stable solutionsof an autonomous non-Lipschitz semilinear elliptic equation of eigenvalue typeaccording to the dimension N and the two exponents, $0<\alpha<\beta<1$, of theinvolved nonlinearites. Suitable assumptions are made on the spatial domain$\Omega$ where the problem is formulated in order to avoid a possible continuumof those solutions and, on the contrary, to ensure the exact number ofsolutions according to the nature of the domain $\Omega$. Our results alsoclarify some previous works in the literature. The main techniques of proof area Pohozhaev's type identity and some fibering type arguments in the variationalapproach.

On the exact multiplicity of stable ground states of non-Lipschitz semilinear elliptic equations for some classes of starshaped sets