Uniqueness and nonuniqueness of nodal radial solutions of sublinear elliptic equations in a ball

DOI10.1016/j.na.2009.04.009zbMath1175.35062OpenAlexW2081322237MaRDI QIDQ732557

Satoshi Tanaka

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.009

zbMATH Keywords

sublinearelliptic equationradial solutionnodal solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Semilinear elliptic equations (35J61) Methods of ordinary differential equations applied to PDEs (35A24) Comparison principles in context of PDEs (35B51)

Related Items

Uniqueness of sign-changing radial solutions for \(\Delta u-u+| u|^{p-1}u=0\) in some ball and annulus, Nonradial solutions of elliptic weighted superlinear problems in bounded symmetric domains, Non-radial least energy solutions of the generalized Hénon equation, Non-even least energy solutions of the Emden-Fowler equation

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