Existence of solutions of semilinear systems with gradient dependence via eigenvalue criteria
From MaRDI portal
Publication:2011248
DOI10.1016/j.jmaa.2019.123547zbMath1430.35091arXiv1901.03176OpenAlexW2977353809WikidataQ127216303 ScholiaQ127216303MaRDI QIDQ2011248
Publication date: 28 November 2019
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.03176
Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)
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Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains ⋮ The principal eigenvalue of some \(n\)th order linear boundary value problems ⋮ Nonexistence criteria for systems of parabolic inequalities in an annulus ⋮ Semipositone nonlocal Neumann elliptic system depending on the gradient in exterior domains ⋮ Eigenvalue criteria for semipositone Neumann elliptic problem in exterior domain ⋮ New results on the sign of the Green function of a two-point \(n\)-th order linear boundary value problem
Cites Work
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- Nonnegative solutions to nonlocal boundary value problems for systems of second-order differential equations dependent on the first-order derivatives
- Positive solutions of a system of second order boundary value problems involving first order derivatives via \(\mathbb R^n_+\)-monotone matrices
- Positive solutions of second-order non-local boundary value problem with singularities in space variables
- Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains
- Compression fixed point theorems of operator type
- Multiple positive solutions of singular Dirichlet second-order boundary-value problems with derivative dependence
- Positive solutions of systems of singular Hammerstein integral equations with applications to semilinear elliptic equations in annuli
- Quasilinear equations with dependence on the gradient
- Positive solutions for a class of multiparameter ordinary elliptic systems
- Classification of radial solutions for semilinear elliptic systems with nonlinear gradient terms
- Eigenvalues of semi-positone Hammerstein integral equations and applications to boundary value problems
- Multiple positive solutions of nonlinear two-point boundary value problems
- Symmetry and related properties via the maximum principle
- Positive solutions for three-point boundary value problems with dependence on the first order derivative.
- Positive solutions of \(m\)-point boundary value problems
- Eigenvalue criteria for existence of positive solutions to nonlinear boundary value problems
- On the solvability of third-order three point systems of differential equations with dependence on the first derivative
- Nontrivial solutions of systems of Hammerstein integral equations with first derivative dependence
- Semilinear elliptic systems with dependence on the gradient
- Abstract existence theorems of positive solutions for nonlinear boundary value problems
- Generalized Hammerstein equations and applications
- Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type
- Superlinear systems of second-order ODE's
- Positive solutions for thep-Laplacian with dependence on the gradient
- Nonzero positive solutions of systems of elliptic boundary value problems
- Solutions of nonlinear equations in cones and positive linear operators
- POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
- Non-local boundary value problems of arbitrary order
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- Positive Cones and Focal Points for a Class of nth Order Differential Equations
- Existence of solution for functional coupled systems with full nonlinear terms and applications to a coupled mass-spring model
- Multiple positive solutions of systems of Hammerstein integral equations with applications to fractional differential equations
- Quasilinear elliptic system in exterior domains with dependence on the gradient
- Existence and asymptotic properties for quasilinear elliptic equations with gradient dependence
