Existence of multiple solutions for quasilinear diagonal elliptic systems.
Existence of optimal controls for control systems governed by nonlinear partial differential equations
Existence of optimal maps in the reflector-type problems
In this paper, we consider probability measures μ and ν on a d-dimensional sphere in and cost functions of the form that generalize those arising in geometric optics where We prove that if μ and ν vanish on -rectifiable sets, if |l'(t)|>0, and is monotone then there exists a unique optimal map To that transports μ onto where optimality is measured against c. Furthermore, Our approach is based on direct variational arguments. In the special case when existence of optimal maps...
Existence of optimal nonanticipating controls in piecewise deterministic control problems
Optimal nonanticipating controls are shown to exist in nonautonomous piecewise deterministic control problems with hard terminal restrictions. The assumptions needed are completely analogous to those needed to obtain optimal controls in deterministic control problems. The proof is based on well-known results on existence of deterministic optimal controls.
Existence of optimal solutions in general discrete systems
Existence of regular solutions for nonlinear Signorini's problem
Existence of solution a of nonlinear degenerate systems of parabolic variational inequalities
Existence of solutions and algorithm for a system of variational inequalities.
Existence of solutions and convergence of a multistep iterative algorithm for a system of variational inclusions with -accretive operators.
Existence of solutions and of multiple solutions for nonlinear nonsmooth periodic systems
In this paper we examine nonlinear periodic systems driven by the vectorial -Laplacian and with a nondifferentiable, locally Lipschitz nonlinearity. Our approach is based on the nonsmooth critical point theory and uses the subdifferential theory for locally Lipschitz functions. We prove existence and multiplicity results for the “sublinear” problem. For the semilinear problem (i.e. ) using a nonsmooth multidimensional version of the Ambrosetti-Rabinowitz condition, we prove an existence theorem...
Existence of solutions for generalized nonlinear mixed variational-like inequalities in Banach spaces.
Existence of solutions for nonconvex second-order differential inclusions in the infinite dimensional space.
Existence of solutions for some quasi-variational inequalities
Existence of solutions for the Dirichlet problem with superlinear nonlinearities
In this paper we establish the existence of nontrivial solutions to with superlinear in .
Existence of solutions for unilateral problems with multivalued operators.
Existence of solutions for -generalized vector variational-like inequalities.
Existence of solutions of minimization problems with an increasing cost function and porosity.
Existence of solutions to a superlinear -Laplacian equation.
Existence of solutions to the system of generalized implicit vector quasivariational inequality problems.
Existence of solutions to weak nonlinear bilevel problems via MinSup and d.c. problems
In this paper, which is an extension of [4], we first show the existence of solutions to a class of Min Sup problems with linked constraints, which satisfy a certain property. Then, we apply our result to a class of weak nonlinear bilevel problems. Furthermore, for such a class of bilevel problems, we give a relationship with appropriate d.c. problems concerning the existence of solutions.