28 research outputs found
Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains
We provide new results on the existence, non-existence, localization and
multiplicity of nontrivial solutions for systems of Hammerstein integral
equations. Some of the criteria involve a comparison with the spectral radii of
some associated linear operators. We apply our results to prove the existence
of multiple nonzero radial solutions for some systems of elliptic boundary
value problems subject to nonlocal boundary conditions. Our approach is
topological and relies on the classical fixed point index. We present an
example to illustrate our theory.Comment: 25 pages. arXiv admin note: text overlap with arXiv:1404.139
Multiple Positive solutions of a -Laplacian system with nonlinear BCs
Using the theory of fixed point index, we discuss existence, non-existence,
localization and multiplicity of positive solutions for a -Laplacian
system with nonlinear Robin and/or Dirichlet type boundary conditions. We give
an example to illustrate our theory.Comment: arXiv admin note: text overlap with arXiv:1408.017
Non-negative solutions of systems of ODEs with coupled boundary conditions
We provide a new existence theory of multiple positive solutions valid for a wide class of
systems of boundary value problems that possess a coupling in the boundary conditions.
Our conditions are fairly general and cover a large number of situations. The theory is illustrated
in details in an example. The approach relies on classical fixed point index
Nonnegative solutions for a system of impulsive BVPs with nonlinear nonlocal BCs
We study the existence of nonnegative solutions for a system of impulsive differential equations subject to nonlinear, nonlocal boundary conditions. The system presents a coupling in the differential equation and in the boundary conditions. The main tool that we use is the theory of fixed point index for compact maps
A cantilever equation with nonlinear boundary condition
We prove new results on the existence of positive solutions for some cantilever equation subject to nonlocal and nonlinear boundary conditions. Our main ingredient is the classical fixed point index