On the number of bounded positive solutions of the exterior elliptic boundary value problems

DOI10.1016/0022-247X(79)90004-0zbMath0396.35048OpenAlexW1981843720MaRDI QIDQ1253370

Akio Ogata

Publication date: 1979

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(79)90004-0

zbMATH Keywords

MultiplicityBounded Positive SolutionsMethod of Sub- and SupersolutionsSecond Order Semilinear Elliptic Boundary Value Problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45)

Related Items (1)

On semilinear elliptic boundary value problems in unbounded domains

Cites Work

• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• Supersolutions, monotone iterations, and stability
• Positive solutions of convex nonlinear eigenvalue problems
• On the number of solutions of boundary value problems with convex nonlinearities
• On the number of solutions of nonlinear equations in ordered Banach spaces
• Uniqueness for sublinear boundary value problems
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Multiple Stable Solutions of Nonlinear Boundary Value Problems Arising in Chemical Reactor Theory
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