A mixed problem for a Boussinesq hyperbolic equation with integral condition.
A mixed problem for a hyperbolic system on the plane with delay in the boundary conditions.
A mixed problem with only integral boundary conditions for a hyperbolic equation.
A new approach to initial traces in nonlinear filtration
A new method to obtain decay rate estimates for dissipative systems with localized damping.
We consider the wave equation damped with a locally distributed nonlinear dissipation. We improve several earlier results of E. Zuazua and of M. Nakao in two directions: first, using the piecewise multiplier method introduced by K. Liu, we weaken the usual geometrical conditions on the localization of the damping. Then thanks to some new nonlinear integral inequalities, we eliminate the usual assumption on the polynomial growth of the feedback in zero and we show that the energy of the system decays...
A new proof of Harnack's inequality for elliptic partial differential equations in divergence form.
A nonexistence result for a nonlinear equation involving critical Sobolev exponent
A nonlinear degenerate parabolic equation
A nonlinear elliptic boundary value problem
A nonlinear heat equation with temperature-dependent parameters.
A note about a priori estimates for indefinite problems in unbounded domains.
A note on nonlinear elliptic systems involving measures.
A note on very weak -harmonic mappings.
A note on estimates for quasilinear parabolic equations.
A parabolic quasilinear problem for linear growth functionals.
We prove existence and uniqueness of solutions for the Dirichlet problem for quasilinear parabolic equations in divergent form for which the energy functional has linear growth.
A potential theoretic inequality
In this paper is proved a weighted inequality for Riesz potential similar to the classical one by D. Adams. Here the gain of integrability is not always algebraic, as in the classical case, but depends on the growth properties of a certain function measuring some local potential of the weight.
A potential well theory for the wave equation with a nonlinear boundary condition.
A priori bounds and global existence for a strongly coupled quasilinear parabolic system modeling chemotaxis.
A priori Bounds and necessary conditions for solvability of prescribed curvature equations.
A priori bounds for global solutions of a semilinear parabolic problem.