Some remarks on the supersolution-subsolution method for superlinear elliptic equations

DOI10.1016/0022-247X(87)90298-8zbMath0632.35022OpenAlexW2064774533MaRDI QIDQ1095310

Kiyoshi Yoshida, Nobuyoshi Fukagai, Takasi Kusano

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(87)90298-8

zbMATH Keywords

existencesub- and supersolutionssemilinearscalar field equationsnonnegative subsolution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items (2)

Nonlinear elliptic boundary-value problems in unbounded domains ⋮ Positive entire solutions of the equation \(\Delta{}u+f(x,u)=0\)

Cites Work

• On bounded entire solutions of semilinear elliptic equations
• A note on bounded positive entire solutions of semilinear elliptic equations
• Nonlinear scalar field equations. II: Existence of infinitely many solutions
• Positive entire solutions of superlinear elliptic equations
• On the existence of solutions of nonlinear elliptic boundary value problems
• Positive solutions of quasilinear elliptic equations in exterior domains
• On positive solutions of -Delta(u)=F(x,u)
• Global and local behavior of positive solutions of nonlinear elliptic equations
• 6.—Oscillation Theory for Semilinear Schrödinger Equations and Inequalities
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some remarks on the supersolution-subsolution method for superlinear elliptic equations