Radial solutions to semilinear elliptic equations via linearized operators

Let $u$ be a classical solution of semilinear elliptic equations in a ball or an annulus in $\mathbb{R}^N$ with zero Dirichlet boundary condition where the nonlinearity has a convex first derivative. In this note, we prove that if the $N$-th eigenvalue of the linearized operator at $u$ is positive,...

Täydet tiedot

Bibliografiset tiedot

Päätekijä:	Phuong Le
Aineistotyyppi:	Artigo
Kieli:	Inglês
Julkaistu:	University of Szeged 2017-04-01
Sarja:	Electronic Journal of Qualitative Theory of Differential Equations
Aiheet:	semilinear elliptic equation nonconvex domain radial solution symmetry
Linkit:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5847
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