Existence and localization of solution for second order elliptic BVP in presence of lower and upper solutions without any order

DOI10.1006/jdeq.1998.3423zbMath0908.35042OpenAlexW1979965911MaRDI QIDQ1265104

Colette De Coster, Marc Henrard

Publication date: 7 February 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3423

zbMATH Keywords

multiplicitydegree\(p\)-Laplacian

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Theoretical approximation in context of PDEs (35A35)

Related Items (35)

Periodic solutions of second-order differential equations in Hilbert spaces ⋮ Existence of positive solutions for singular Dirichlet boundary value problems with impulse and derivative dependence ⋮ Non-well-ordered lower and upper solutions for semilinear systems of PDEs ⋮ Existence and global behavior of the solution to a parabolic equation with nonlocal diffusion ⋮ A variational approach to the Fredholm alternative for the \(p\)-Laplacian near the first eigenvalue ⋮ The existence and multiplicity of positive solutions for a class of nonlocal elliptic problems ⋮ Positive solutions of elliptic problems with locally oscillating nonlinearities ⋮ Local ``superlinearity and ``sublinearity for the \(p\)-Laplacian ⋮ A Seven-Positive-Solutions Theorem for a Superlinear Problem ⋮ Positivity and lower and upper solutions for fourth order boundary value problems ⋮ Qualitative analysis of a curvature equation modelling MEMS with vertical loads ⋮ The three-solutions theorem for \(p\)-Laplacian boundary value problems ⋮ An Ambrosetti–Prodi-type problem for the (p,q)-Laplacian operator ⋮ MULTIPLE POSITIVE SOLUTIONS OF A ONE-DIMENSIONAL PRESCRIBED MEAN CURVATURE PROBLEM ⋮ Solutions for an operator equation under the conditions of pairs of paralleled lower and upper solutions ⋮ Multiplicity results for three-point boundary value problems with a non-well-ordered upper and lower solution condition ⋮ Lower and upper solutions for elliptic problems in nonsmooth domains ⋮ Multiplicity results via topological degree for impulsive boundary value problems under non-well-ordered upper and lower solution conditions ⋮ Multiple positive solutions for elliptic boundary value problems ⋮ Existence and Multiplicity for Elliptic Problems with Quadratic Growth in the Gradient ⋮ Monotone method for the Neumann problem with lower and upper solutions in the reverse order ⋮ On a \(p\)-Laplace Neumann problem with asymptotically asymmetric perturbations ⋮ A one side superlinear Ambrosetti-Prodi problem for the Dirichlet \(p\)-Laplacian ⋮ Minimization of eigenvalues for a quasilinear elliptic Neumann problem with indefinite weight ⋮ Fredholm alternative for the \(p\)-Laplacian in higher dimensions ⋮ On a monotone iterative method for a class of three point nonlinear nonsingular BVPs with upper and lower solutions in reverse order ⋮ Two-point boundary value problems for planar systems: a lower and upper solutions approach ⋮ The Ambrosetti–Prodi Problem for thep-Laplace Operator ⋮ Existence and multiplicity of positive solutions for classes of singular elliptic PDEs ⋮ Positive solutions of a diffusive predator-prey model with modified Leslie-Gower and Holling-type II schemes ⋮ Unstable periodic solutions of a parabolic problem in the presence of non-well-ordered lower and upper solutions ⋮ On the Dirichlet problem associated with bounded perturbations of positively-\((p, q)\)-homogeneous Hamiltonian systems ⋮ Sign-changing solutions and multiplicity results for elliptic problems via lower and upper solutions ⋮ A constructive monotone iterative method for second-order BVP in the presence of lower and upper solutions ⋮ On the number and structure of solutions for a Fredholm alternative with the \(p\)-Laplacian.

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