EuDML | Browse

We consider a reaction-diffusion system of the activator-inhibitor type with unilateral boundary conditions leading to a quasivariational inequality. We show that there exists a positive eigenvalue of the problem and we obtain an instability of the trivial solution also in some area of parameters where the trivial solution of the same system with Dirichlet and Neumann boundary conditions is stable. Theorems are proved using the method of a jump in the Leray-Schauder degree.

Erratum to “Iterative methods for variational inequalities over the intersection of the fixed points set of a nonexpansive semigroup in Banach spaces”.

Mohamadi, Issa (2011)

Fixed Point Theory and Applications [electronic only]

Error bounds for general mixed quasivariational inequalities.

Noor, Muhammad Aslam, Noor, Khalida Inayat (2005)

International Journal of Mathematics and Mathematical Sciences

Estimates for $k$ -Hessian operator and some applications

Dongrui Wan (2013)

Czechoslovak Mathematical Journal

The $k$ -convex functions are the viscosity subsolutions to the fully nonlinear elliptic equations $F_{k} [u] = 0$ , where $F_{k} [u]$ is the elementary symmetric function of order $k$ , $1 \leq k \leq n$ , of the eigenvalues of the Hessian matrix $D^{2} u$ . For example, $F_{1} [u]$ is the Laplacian $Δ u$ and $F_{n} [u]$ is the real Monge-Ampère operator det $D^{2} u$ , while $1$ -convex functions and $n$ -convex functions are subharmonic and convex in the classical sense, respectively. In this paper, we establish an approximation theorem for negative $k$ -convex functions, and give several...

Evolutionary variational inequalities arising in quasistatic frictional contact problems for elastic materials.

Motreanu, Dumitru, Sofonea, Mircea (1999)

Abstract and Applied Analysis

Examples of bifurcation of periodic solutions to variational inequalities in $ℝ^{κ}$

Milan Kučera (2000)

Czechoslovak Mathematical Journal

A bifurcation problem for variational inequalities $U (t) \in K, (\dot{U} (t) - B_{λ} U (t) - G (λ, U (t)), Z - U (t)) \geq 0 for all Z \in K, a.a. t \geq 0$ is studied, where $K$ is a closed convex cone in $ℝ^{κ}$ , $κ \geq 3$ , $B_{λ}$ is a $κ \times κ$ matrix, $G$ is a small perturbation, $λ$ a real parameter. The main goal of the paper is to simplify the assumptions of the abstract results concerning the existence of a bifurcation of periodic solutions developed in the previous paper and to give examples in more than three dimensional case.

Existence of solutions and convergence of a multistep iterative algorithm for a system of variational inclusions with $(H, η)$ -accretive operators.

Peng, Jian-Wen, Zhu, Dao-Li, Zheng, Xiao-Ping (2007)

Fixed Point Theory and Applications [electronic only]

Currently displaying 61 – 80 of 199

Previous Page 4 Next

Displaying 61 – 80 of 199

Connectedness and compactness of weak efficient solutions for set-valued vector equilibrium problems.

Controllability for variational inequalities of parabolic type with nonlinear perturbation.

Convergence and stability of the three-step iterative schemes for a class of general quasivariational-like inequalities.

Convergence estimates and approximation solvability of nonlinear implicit variational inequalities.

Convergence of paths for perturbed maximal monotone mappings in Hilbert spaces.

Convergence theorems on an iterative method for variational inequality problems and fixed point problems.

Critical point theorems and Ekeland type variational principle with applications.

Destabilization for quasivariational inequalities of reaction-diffusion type

Erratum to “Iterative methods for variational inequalities over the intersection of the fixed points set of a nonexpansive semigroup in Banach spaces”.

Error bounds for general mixed quasivariational inequalities.

Estimates for $k$ -Hessian operator and some applications

Evolutionary variational inequalities arising in quasistatic frictional contact problems for elastic materials.

Examples of bifurcation of periodic solutions to variational inequalities in $ℝ^{κ}$

Existence and uniqueness of solution of unilateral problems with $L^{1}$ data.

Existence of a Solution of the Quasi- Variational Inequality With Semicontinuous Operator

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 $(H, η)$ -accretive operators.

Existence of solutions for generalized nonlinear mixed variational-like inequalities in Banach spaces.

Existence of solutions for $η$ -generalized vector variational-like inequalities.

Existence results for general inequality problems with constraints.

Currently displaying 61 – 80 of 199