Nonlinear Neumann boundary value problem with -Laplacian.
Nonlinear Variational Inequalities Depending on a Parameter
This paper develops the results announced in the Note [14]. Using an eigenvalue problem governed by a variational inequality, we try to unify the theory concerning the post-critical equilibrium state of a thin elastic plate subjected to unilateral conditions.
Nonzero and positive solutions of a superlinear elliptic system
In this paper we consider the existence of nonzero solutions of an undecoupling elliptic system with zero Dirichlet condition. We use Leray-Schauder Degree Theory and arguments of Measure Theory. We will show the existence of positive solutions and we give applications to biharmonic equations and the scalar case.
On a local degree for a class of multi-valued vector fields in infinite dimensional Banach spaces.
On a min-max procedure for the existence of a positive solution for certain scalar field equations in RN.
In this paper we mainly introduce a min-max procedure to prove the existence of positive solutions for certain semilinear elliptic equations in RN.
On a nonlinear integral equation without compactness.
On calculation of the relative index of a fixed point in the nondegenerate case.
On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications.
On existence theorems for semilinear equations and applications
Existence results for semilinear operator equations without the assumption of normal cones are obtained by the properties of a fixed point index for A-proper semilinear operators established by Cremins. As an application, the existence of positive solutions for a second order m-point boundary value problem at resonance is considered.
On local and global injectivity of noncompact vector fields in non necessarily locally convex vector spaces
We give in this paper conditions for a mapping to be globally injective in a topological vector space.
On Mawhin's continuation principles.
On some nonlinear potential problems.
On some topological methods in theory of neutral type operator differential inclusions with applications to control systems
We consider a neutral type operator differential inclusion and apply the topological degree theory for condensing multivalued maps to justify the question of existence of its periodic solution. By using the averaging method, we apply the abstract result to an inclusion with a small parameter. As example, we consider a delay control system with the distributed control.
On the Conley index in Hilbert spaces - a multivalued case
We introduce the cohomological Conley type index theory for multivalued flows generated by vector fields which are compact and convex-valued perturbations of some linear operators.
On the degree theory for densely defined mappings of class .
On the existence of periodic solutions of an hyperbolic equation in a thin domain
For a nonlinear hyperbolic equation defined in a thin domain we prove the existence of a periodic solution with respect to time both in the non-autonomous and autonomous cases. The methods employed are a combination of those developed by J. K. Hale and G. Raugel and the theory of the topological degree.
On the Lefschetz fixed point theorem
On the solvability of a system of wave and beam equations.
On the study of a class of variational inequalities via Leray-Schauder degree.
On two problems studied by A. Ambrosetti
We study the Ambrosetti–Prodi and Ambrosetti–Rabinowitz problems.We prove for the first one the existence of a continuum of solutions with shape of a reflected (-shape). Next, we show that there is a relationship between these two problems.