A generalized Fuc̆ik type eigenvalue problem for p-Laplacian.
A generalized maximum principle and estimates of max vrai for nonlinear parabolic boundary value problems
A generalized maximum principle for boundary value problems for degenerate parabolic operators with discontinuous coefficients
We prove a generalized maximum principle for subsolutions of boundary value problems, with mixed type unilateral conditions, associated to a degenerate parabolic second-order operator in divergence form.
A generalized Nevanlinna theorem for supertemperatures.
A generalized solution to a Cahn-Hilliard/Allen-Cahn system.
A generalized strange term in Signorini’s type problems
The limit behavior of the solutions of Signorini’s type-like problems in periodically perforated domains with period is studied. The main feature of this limit behaviour is the existence of a critical size of the perforations that separates different emerging phenomena as . In the critical case, it is shown that Signorini’s problem converges to a problem associated to a new operator which is the sum of a standard homogenized operator and an extra zero order term (“strange term”) coming from the...
A Generalized Strange Term in Signorini's Type Problems
The limit behavior of the solutions of Signorini's type-like problems in periodically perforated domains with period ε is studied. The main feature of this limit behaviour is the existence of a critical size of the perforations that separates different emerging phenomena as ε → 0. In the critical case, it is shown that Signorini's problem converges to a problem associated to a new operator which is the sum of a standard homogenized operator and an extra zero order term (“strange term”) coming from...
A geometric analysis of a singular ODE related to the study of a quasilinear PDE.
A geometric and analytic approach to some problems associated with Emden equations
A geometric approach for convexity in some variational problem in the Gauss space
A geometric approach to invariant sets for dynamical systems.
A Geometric Construction of the Discrete Series for Semisimple Lie Groups.
A geometric derivation of the linear Boltzmann equation for a particle interacting with a Gaussian random field, using a Fock space approach
In this article the linear Boltzmann equation is derived for a particle interacting with a Gaussian random field, in the weak coupling limit, with renewal in time of the random field. The initial data can be chosen arbitrarily. The proof is geometric and involves coherent states and semi-classical calculus.
A geometric improvement of the velocity-pressure local regularity criterion for a suitable weak solution to the Navier-Stokes equations
We deal with a suitable weak solution to the Navier-Stokes equations in a domain . We refine the criterion for the local regularity of this solution at the point , which uses the -norm of and the -norm of in a shrinking backward parabolic neighbourhood of . The refinement consists in the fact that only the values of , respectively , in the exterior of a space-time paraboloid with vertex at , respectively in a ”small” subset of this exterior, are considered. The consequence is that...
A Geometric Intrepertation for the Hans Lewy Operator
A geometrical interpretation of the time evolution of the Schrödinger equation for discrete quantum systems
A Glimm type functional for a special Jin–Xin relaxation model
A Global a posteriori Error Estimate for Quasilinear Elliptic Problems.
A global approach to ground state solutions.
A global attractor in a general diffusive food chain model.