Comparison theorems for radial solutions of semilinear elliptic equations

DOI10.1016/0022-0396(88)90159-3zbMath0667.35021OpenAlexW2084333204MaRDI QIDQ1117396

Chris J. Budd

Publication date: 1988

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(88)90159-3

zbMATH Keywords

a priori boundseigenvalue problemlocation of zerosRadially symmetric

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

A non-oscillation theorem for the Emden-Fowler equation: Ground states for semilinear elliptic equations with critical exponents, Symmetry breaking and semilinear elliptic equations, Semilinear elliptic equations and supercritical growth

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear scalar field equations. II: Existence of infinitely many solutions
• Global bifurcation of steady-state solutions
• Symmetry and related properties via the maximum principle
• Semilinear elliptic equations and supercritical growth
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
• Semilinear elliptic equations with near critical growth rates
• Uniqueness of solutions of nonlinear Dirichlet problems