On Semipositone Non-Local Boundary-Value Problems with Nonlinear or Affine Boundary Conditions

DOI10.1017/S0013091516000146zbMath1375.34039OpenAlexW2547933264MaRDI QIDQ5357209

Christopher S. Goodrich

Publication date: 14 September 2017

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091516000146

zbMATH Keywords

boundary-value problemnonlinear boundary conditionpositive solutionfixed-point indexnon-local boundary condition

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (7)

Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains ⋮ A new coercivity condition applied to semipositone integral equations with nonpositive, unbounded nonlinearities and applications to nonlocal BVPs ⋮ Semipositone nonlocal Neumann elliptic system depending on the gradient in exterior domains ⋮ Radially symmetric solutions of elliptic PDEs with uniformly negative weight ⋮ Positive solutions of higher order fractional integral boundary value problem with a parameter ⋮ Eigenvalue criteria for semipositone Neumann elliptic problem in exterior domain ⋮ Positive solutions for semipositone fractional integral boundary value problem on the half-line

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