Evolutionary variational inequalities arising in quasistatic frictional contact problems for elastic materials.
Sign-changing solutions for nonlinear elliptic problems depending on parameters.
Quasilinear differential equations in exterior domains with nonlinear boundary conditions and application.
Eigenvalue problems for degenerate nonlinear elliptic equations in anisotropic media.
Existence results for general inequality problems with constraints.
A saddle point approach to nonlinear eigenvalue problems
Existence and comparison results for quasilinear evolution hemivariational inequalities.
A critical point result for non-differentiable indefinite functionals
In this paper, two deformation lemmas concerning a family of indefinite, non necessarily continuously differentiable functionals are proved. A critical point theorem, which extends the classical result of Benci-Rabinowitz [14, Theorem 5.29] to the above-mentioned setting, is then deduced.
Quasistatic frictional problems for elastic and viscoelastic materials
We consider two quasistatic problems which describe the frictional contact between a deformable body and an obstacle, the so-called foundation. In the first problem the body is assumed to have a viscoelastic behavior, while in the other it is assumed to be elastic. The frictional contact is modeled by a general velocity dependent dissipation functional. We derive weak formulations for the models and prove existence and uniqueness results. The proofs are based on the theory of evolution variational...
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