The Influence of Boundary Data on the Number of Solutions of Boundary Value Problems with Jumping Nonlinearities

DOI10.2307/2001568zbMath0723.34018OpenAlexW4231220540MaRDI QIDQ3211635

Greg A. Harris

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001568

zbMATH Keywords

perturbationnonlinear boundary value problemcritical valuescomputational resultselliptic boundary value problemsshooting techniquealgorithmic resultsjumps in boundary dataRegular distributionsunperturbed problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Ordinary differential equations of infinite order (34A35) Bifurcations in context of PDEs (35B32) Numerical analysis in abstract spaces (65J99)

Related Items (4)

High multiplicity and complexity of the bifurcation diagrams of large solutions for a class of superlinear indefinite problems ⋮ On multiple solutions of a nonlinear Neumann problem ⋮ On the number of solutions of two classes of Sturm-Liouville boundary value problems ⋮ Multiplicity of solutions for non-homogeneous Dirichlet problem with one-dimension Minkowski-curvature operator

Cites Work

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• Multiplicity results for a class of semilinear elliptic and parabolic boundary value problems
• Boundary value problems with jumping nonlinearities
• On the number of solutions of a nonlinear Dirichlet problem
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• On the inversion of some differentiable mappings with singularities between Banach spaces
• A multiplicity result for a class of elliptic boundary value problems
• On a conjecture related to the number of solutions of a nonlinear Dirichlet problem
• Global Analysis of Two-Parameter Elliptic Eigenvalue Problems
• Existence of a third solution for a class of B.V.P. with jumping nonlinearities
• Boundary value problems with jumping nonlinearities
• On the Dirichlet problem for weakly non-linear elliptic partial differential equations
• Boundary value problems for quasilinear second order elliptic equations

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