On the existence of nonautonomous ODE with application to semilinear elliptic equations

DOI10.1007/S00009-018-1112-1zbMath1391.35158OpenAlexW2794399138WikidataQ130105729 ScholiaQ130105729MaRDI QIDQ1635763

Hassan Ibrahim, Elissar Nasreddine

Publication date: 1 June 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1112-1

zbMATH Keywords

positive solutionsordinary differential equationsemilinear elliptic equation with Laplacian

Mathematics Subject Classification ID

General theory for ordinary differential equations (34A99) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (1)

Radial and asymptotically constant solutions for nonautonomous elliptic equations

Cites Work

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• Entire solutions of fully nonlinear elliptic equations with a superlinear gradient term
• On the inequality \(F(x,D^2u)\geq f(u) +g(u)| Du|^q\)
• Solvability of nonlinear elliptic equations with gradient terms
• Asymptotic behavior of solutions of semilinear elliptic equations in unbounded domains: two approaches
• Symmetry and related properties via the maximum principle
• On the existence of solutions of nonlinear elliptic boundary value problems
• On the maximum principle for complete second-order elliptic operators in general domains.
• Symmetry results for semilinear elliptic systems in the whole space
• Travelling fronts in cylinders
• Symmetry and nonexistence results for Emden-Fowler equations in cones.
• Positive solutions of second-order differential equations
• Positive solutions for second-order nonlinear differential equations
• On second-order non-linear oscillations
• Existence of semilinear elliptic equations with prescribed limiting behaviour
• The Weak Maximum Principle for Degenerate Elliptic Operators in Unbounded Domains
• Existence results for bellman equations and maximum principles in unbounded domains
• On the method of moving planes and the sliding method
• The Alexandrov-Bakelman-Pucci Weak Maximum Principle for Fully Nonlinear Equations in Unbounded Domains
• Qualitative properties of some bounded positive solutions to scalar field equations

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