Positive solutions for two-point BVP's: existence and multiplicity results

DOI10.1016/0362-546X(89)90016-3zbMath0704.34020OpenAlexW1973221082MaRDI QIDQ3483579

Franic Ikechukwu Njoku, Fabio Zanolin

Publication date: 1989

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(89)90016-3

zbMATH Keywords

Green's functionpositive solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Growth and boundedness of solutions to ordinary differential equations (34C11) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items

Time-mappings and multiplicity of solutions for the one-dimensional p-Laplacian ⋮ Existence of positive solutions for nonlinear eigenvalue problems ⋮ Positive solutions of sub-superlinear Sturm-Liouville problems ⋮ Positive solutions for a class of semilinear two-point boundary value problems ⋮ Sequences of Weak Solutions for Non-Local Elliptic Problems with Dirichlet Boundary Condition ⋮ The method of lower and upper solutions for fourth-order two-point boundary value problems ⋮ Multiple positive solutions for nonlinear periodic problems ⋮ Pairs of positive solutions for the one-dimensional p-Laplacian ⋮ Nonuniform nonresonance at the first eigenvalue of the p-laplacian ⋮ Positive solutions for nonlinear periodic problems with concave terms ⋮ Positive solutions for nonlinear periodic problems ⋮ Multiple positive solutions for a superlinear problem: a topological approach

Cites Work

• On the solvability of a semilinear two-point BVP around the first eigenvalue
• On an elementary phase-plane analysis for solving second order BVPs
• An existence theorem for positive solutions of semilinear elliptic equations
• Generalized Ambrosetti-Prodi conditions for nonlinear two-point boundary value problems
• Variational methods and semilinear elliptic equations
• Positive solutions of asymptotically linear elliptic eigenvalue problems
• Nonlinear perturbations of a linear elliptic problem near its first eigenvalue
• An introduction to nonlinear boundary value problems
• Existence of Solutions of a Nonlinear Differential Equation
• A Class of Nonlinear Sturm-Liouville Problems With Infinitely Many Solutions
• Remarks on some quasilinear elliptic equations
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• The fixed point index and asymptotic fixed point theorems for $k$-set-contractions
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