Uniqueness of positive radial solutions of a semilinear Dirichlet problem in an annulus

DOI10.1017/S0308210500000755zbMath0979.35042OpenAlexW2098497317MaRDI QIDQ2708161

S. L. Yadava

Publication date: 13 February 2002

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500000755

zbMATH Keywords

Dirichlet problemradial solutionssemilinear elliptic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60)

Related Items (10)

Uniqueness of sign-changing radial solutions for \(\Delta u-u+| u|^{p-1}u=0\) in some ball and annulus ⋮ Uniqueness of positive radial solutions for quasilinear elliptic equations in an annulus ⋮ Uniqueness of positive radial solutions of superlinear elliptic equations in annuli ⋮ A generalized Pohožaev identity and uniqueness of positive radial solutions of \(\Delta u+g(r)u+h(r)u^p=0\) ⋮ Uniqueness of positive radial solutions for elliptic equations in an annulus ⋮ Uniqueness of radially symmetric positive solutions for \(- \Delta u+u=u^p\) in an annulus ⋮ Uniqueness of positive radial solutions for Dirichlet problems on annular domains ⋮ A Pohožaev type identity and its application to uniqueness of positive radial solutions of Brezis-Nirenberg problem on an annulus ⋮ On the uniqueness of solutions of a semilinear equation in an annulus ⋮ Uniqueness of positive radial solutions for \(\Delta u-u+u^p=0\) on an annulus.

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