On three-point boundary value problem with a weighted integral condition for a class of singular parabolic equations.
On Two-Dimensional Elliptic Systems with a One-sided Condition.
On weighted estimated for some systems of partial differential operators
On weighted estimates of solutions of nonlinear elliptic problems
The paper is devoted to the estimate u(x,k)Kk{capp,w(F)pw(B(x,))} 1p-1, for a solution of a degenerate nonlinear elliptic equation in a domain , , , under the boundary-value conditions for , for and where , is a weighted function from some Muckenhoupt class, and , are weighted capacity and measure of the corresponding sets.
Ondes progressives pour l’équation de Gross-Pitaevskii
Cet exposé présente les résultats de l’article [3] au sujet des ondes progressives pour l’équation de Gross-Pitaevskii : la construction d’une branche d’ondes progressives non constantes d’énergie finie en dimensions deux et trois par un argument variationnel de minimisation sous contraintes, ainsi que la non-existence d’ondes progressives non constantes d’énergie petite en dimension trois.
One-dimensional compressible viscous micropolar fluid model: stabilization of the solution for the Cauchy problem.
Opérateurs maximaux associés à une classe d'opérateurs elliptiques fortement dégénérés sur la frontière. Application au calcul de l'indice pour une classe de problèmes aux limites associés à ces opérateurs
Orbital stability for polytropic galaxies
Osservazione sulla risolubilità del problema di Dirichlet per una classe di equazioni ellittiche a coefficienti discontinui
Parabolic oblique derivative problem with discontinuous coefficients in generalized weighted Morrey spaces
We obtain the global weighted Morrey-type regularity of the solution of the regular oblique derivative problem for linear uniformly parabolic operators with VMO coefficients. We show that if the right-hand side of the parabolic equation belongs to certain generalized weighted Morrey space Mp,ϕ(Q, w), than the strong solution belongs to the generalized weighted Sobolev- Morrey space [...] W˙2,1p,φ(Q,ω).
Periodic and stationary solutions for compressible Navier-Stokes equations via a stability method
Periodic solutions in superlinear parabolic problems.
Periodic solutions of -Laplacian systems with a nonlinear convection term.
Phase Transition in multicomponent systems.
Picone-type inequalities for nonlinear elliptic equations with first-order terms and their applications.
Poincaré's inequality and global solutions of a nonlinear parabolic equation
Pointwise bounds for solutions of the equation - ...v + pv = 0.
Pointwise estimates and rigidity results for entire solutions of nonlinear elliptic pde’s
We prove pointwise gradient bounds for entire solutions of pde’s of the form ℒu(x) = ψ(x, u(x), ∇u(x)), where ℒ is an elliptic operator (possibly singular or degenerate). Thus, we obtain some Liouville type rigidity results. Some classical results of J. Serrin are also recovered as particular cases of our approach.
Pointwise estimates for a class of strongly degenerate elliptic operators : a geometrical approach
Pointwise estimates of nonnegative subsolutions of quasilinear elliptic equations at irregular boundary points
Let be a weak solution of a quasilinear elliptic equation of the growth with a measure right hand term . We estimate at an interior point of the domain , or an irregular boundary point , in terms of a norm of , a nonlinear potential of and the Wiener integral of . This quantifies the result on necessity of the Wiener criterion.