Numerical analysis of oscillations in nonconvex problems.
On a class of nonlinear elliptic equations
A remark on uniqueness for quasilinear elliptic equations
Uniqueness results and monotonicity properties for strongly nonlinear elliptic variational inequalities
On a critical threshold for nonlinear diffusion equations.
We study some aspects of the asymptotic behavior of the solutions to a class of nonlinear parabolic equations.
On a class of nonlocal nonlinear elliptic problems
Some results in viscoelasticity theory via a simple perturbation argument
Nonlinear nonlocal evolution problems.
We consider a class of nonlinear parabolic problems where the coefficients are depending on a weighted integral of the solution. We address the issues of existence, uniqueness, stationary solutions and in some cases asymptotic behaviour.
The use of Young measures for constructing minimizing sequences in the calculus of variations.
Remarks on a nonlocal problem involving the Dirichlet energy
A Nonlocal Problem Arising in the Study of Magneto-Elastic Interactions
The energy of magneto-elastic materials is described by a nonconvex functional. Three terms of the total free energy are taken into account: the exchange energy, the elastic energy and the magneto-elastic energy usually adopted for cubic crystals. We focus our attention to a one dimensional penalty problem and study the gradient flow of the associated type Ginzburg-Landau functional. We prove the existence and uniqueness of a classical solution which tends asymptotically for subsequences to a stationary...
Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions.
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