The effect of a nonstandard cone on existence theorem applicability in nonlocal boundary value problems

DOI10.1007/S11784-017-0448-7zbMath1390.45015OpenAlexW2621017307MaRDI QIDQ1684876

Christopher S. Goodrich

Publication date: 12 December 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-017-0448-7

zbMATH Keywords

coercivitypositive solutionHammerstein integral equationradially symmetric solutionlinear nonlocal boundary condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Perturbations of nonlinear operators (47H14) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Positive solutions of integral equations (45M20) Positive solutions to PDEs (35B09)

Related Items (17)

Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains ⋮ Perturbed integral operator equations of Volterra type with applications to \(p\)-Laplacian equations ⋮ Coercive functionals and their relationship to multiplicity of solution to nonlocal boundary value problems ⋮ A topological approach to nonlocal elliptic partial differential equations on an annulus ⋮ Nonzero positive solutions of a multi-parameter elliptic system with functional BCs ⋮ Nonlocal differential equations with convolution coefficients and applications to fractional calculus ⋮ Discrete Kirchhoff equations with sign-changing coefficients ⋮ Radially symmetric solutions of elliptic PDEs with uniformly negative weight ⋮ Topological analysis of doubly nonlocal boundary value problems ⋮ Pointwise conditions for perturbed Hammerstein integral equations with monotone nonlinear, nonlocal elements ⋮ Nonlocal differential equations with concave coefficients of convolution type ⋮ A one-dimensional Kirchhoff equation with generalized convolution coefficients ⋮ An application of a nonstandard cone to discrete boundary value problems with unbounded indefinite forcing ⋮ Existence and uniqueness of solutions for a class of higher-order fractional boundary value problems with the nonlinear term satisfying some inequalities ⋮ A topological approach to a class of one-dimensional Kirchhoff equations ⋮ Differential equations with multiple sign changing convolution coefficients ⋮ Existence and monotonicity of nonlocal boundary value problems: the one-dimensional case

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