Nonlocal conditions for lower semicontinuous parabolic inclusions.
On nonlinear hemivariational inequalities [Book]
On the set of solutions of some nonconvex nonclosed hyperbolic differential inclusions
We consider a class of nonconvex and nonclosed hyperbolic differential inclusions and we prove the arcwise connectedness of the solution set.
On the solution sets of some nonconvex hyperbolic differential inclusions
On total differential inclusions
Periodic solutions of evolution problem associated with moving convex sets
This paper is concerned with periodic solutions for perturbations of the sweeping process introduced by J.J. Moreau in 1971. The perturbed equation has the form where C is a T-periodic multifunction from [0,T] into the set of nonempty convex weakly compact subsets of a separable Hilbert space H, is the normal cone of C(t) at u(t), f:[0,T] × H∪H is a Carathéodory function and Du is the differential measure of the periodic BV solution u. Several existence results of periodic solutions for this...
Semicontinuity and continuous selections for the multivalued superposition operator without assuming growth-type conditions
Let Ω be a measure space, and E, F be separable Banach spaces. Given a multifunction , denote by the set of all measurable selections of the multifunction , s ↦ f(s,x(s)), for a function x: Ω → E. First, we obtain new theorems on H-upper/H-lower/lower semicontinuity (without assuming any conditions on the growth of the generating multifunction f(s,u) with respect to u) for the multivalued (Nemytskiĭ) superposition operator mapping some open domain G ⊂ X into , where X and Y are Köthe-Bochner...
Sign-changing solutions for nonlinear elliptic problems depending on parameters.
Some results about multiplicity and bifurcation of stationary solutions of a reaction diffusion climatological model.
In this survey we collect several results concerning S-type bifurcation curves for the number of solutions of reaction-diffusion stationary equations. In particular, we recall several results in the literature for the case of stationary energy balance models.
Sur et sous-solutions dans les équations semi-linéaires de type elliptique avec conditions aux limites non linéaires
Systems for phase transitions with hysteresis effect
The Picard-Ionescu problem for hyperbolic inclusions with modified argument
We consider the Picard-Ionescu problem for hyperbolic inclusions with modified argument. Existence of a local solution is proved and some properties of the set of solutions are established.
Time discretization of nonlinear Cauchy problems applying to mixed hyperbolic-parabolic equations.