Existence of positive solutions for some polyharmonic nonlinear boundary-value problems.
Existence of positive solutions for two nonlinear eigenvalue problems.
Existence of positive solutions of the semilinear Dirichlet problem with critical growth for the -laplacian
Existence of positive solutions to a superlinear elliptic problem.
Existence of positive solutions to nonlinear elliptic problem in the half space.
Existence of pseudo almost automorphic solutions for the heat equation with -pseudo almost automorphic coefficients.
Existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations.
Existence of pseudo-almost automorphic mild solutions to some nonautonomous partial evolution equations.
Existence of pullback attractors for the coupled suspension bridge equations.
Existence of pulsating waves in a model of flames in sprays
A one-dimensional system describing the propagation of low Mach number flames in sprays is studied. We show that pulsating waves may exist when the droplet distribution in the unburnt region is spatially periodic. The range of possible propagation speeds may be either bounded or unbounded, depending on the threshold temperatures of the burning and vaporization rates.
Existence of quadratic-mean almost periodic solutions to some stochastic hyperbolic differential equations.
Existence of quadrature surfaces for uniform density supported by a segment.
Existence of quasilinear relaxation shock profiles in systems with characteristic velocities
We revisit the existence problem for shock profiles in quasilinear relaxation systems in the case that the velocity is a characteristic mode, implying that the profile ODE is degenerate. Our result states existence, with sharp rates of decay and distance from the Chapman–Enskog approximation, of small-amplitude quasilinear relaxation shocks. Our method of analysis follows the general approach used by Métivier and Zumbrun in the semilinear case, based on Chapman–Enskog expansion and the macro–micro...
Existence of radial positive solutions vanishing at infinity for asymptotically homogeneous systems.
Existence of Rayleigh resonances exponentially close to the real axis
Existence of reaction-diffusion-convection waves in unbounded strips.
Existence of regular solutions for nonlinear Signorini's problem
Existence of regular solutions to the stationary Navier-Stokes equations.
Existence of regular solutions to the steady Navier-Stokes equations in bounded six-dimensional domains
Existence of renormalized solution of some elliptic problems in Orlicz spaces.