Existence of pseudo-almost automorphic mild solutions to some nonautonomous partial evolution equations.
Existence of solution for a singular elliptic equation with critical Sobolev-Hardy exponents.
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 a family of polyharmonic and biharmonic equations.
Existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions and its applications
We establish the existence of solutions for evolution equations in Hilbert spaces with anti-periodic boundary conditions. The energies associated to these evolution equations are quadratic forms. Our approach is based on application of the Schaefer fixed-point theorem combined with the continuity method.
Existence of solutions for generalized nonlinear mixed variational-like inequalities in Banach spaces.
Existence of solutions for nonlinear nonmonotone evolution equations in Banach spaces with anti-periodic boundary conditions
The paper is devoted to the study of the existence of solutions for nonlinear nonmonotone evolution equations in Banach spaces involving anti-periodic boundary conditions. Our approach in this study relies on the theory of monotone and maximal monotone operators combined with the Schaefer fixed-point theorem and the monotonicity method. We apply our abstract results in order to solve a diffusion equation of Kirchhoff type involving the Dirichlet -Laplace operator.
Existence of solutions for operator inclusions : a unified approach
Existence of solutions for some Hammerstein type integro-differential inclusions.
Existence of solutions for systems of self-referred and hereditary differential equations.
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 two types of generalized versions of the Cahn-Hilliard equation
We show existence of solutions to two types of generalized anisotropic Cahn-Hilliard problems: In the first case, we assume the mobility to be dependent on the concentration and its gradient, where the system is supplied with dynamic boundary conditions. In the second case, we deal with classical no-flux boundary conditions where the mobility depends on concentration , gradient of concentration and the chemical potential . The existence is shown using a newly developed generalization of gradient...
Existence of solutions for -generalized vector variational-like inequalities.
Existence of solutions of a functional-integral equation in infinite dimensional Banach spaces
Existence of solutions to a self-referred and hereditary system of differential equations.
Existence of strong solutions for a class of nonlinear partial differential equations satisfying nonlinear boundary conditions
Existence of weak solutions for nonlinear elliptic systems on .
Existence of zeros for operators taking their values in the dual of a Banach space.