Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. I.
Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. II.
Existence and continuity of global attractors for a degenerate semilinear parabolic equation.
Existence and decay of solutions of some nonlinear parabolic variational inequalities.
Existence and global exponential stability of equilibrium solution to reaction-diffusion recurrent neural networks on time scales.
Existence and nonexistence of global solutions of degenerate and singular parabolic systems.
Existence and nonexistence of global solutions of the quasilinear parabolic equations with inhomogeneous terms.
Existence and nonexistence of solutions for a model of gravitational interaction of particles, II
We study the existence and nonexistence in the large of radial solutions to a parabolic-elliptic system with natural (no-flux) boundary conditions describing the gravitational interaction of particles. The blow-up of solutions defined in the n-dimensional ball with large initial data is connected with the nonexistence of radial stationary solutions with a large mass.
Existence and nonexistence of solutions for a model of gravitational interaction of particles, III
Existence and nonexistence of solutions for a model of gravitational interaction of particles, I
We study the existence of stationary and evolution solutions to a parabolic-elliptic system with natural (no-flux) boundary conditions describing the gravitational interaction of particles.
Existence and nonexistence results for a class of linear and semilinear parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities
In this work we study the problem in , in , on , in , is a bounded regular domain such that , , , , and are positive functions such...
Existence and non-existence results for a nonlinear heat equation.
Existence and nonexistence results for reaction-diffusion equations in product of cones
Problems of existence and nonexistence of global nontrivial solutions to quasilinear evolution differential inequalities in a product of cones are investigated. The proofs of the nonexistence results are based on the test-function method developed, for the case of the whole space, by Mitidieri, Pohozaev, Tesei and Véron. The existence result is established using the method of supersolutions.
Existence and perturbation of principal eigenvalues for a periodic-parabolic problem.
Existence and properties of the Green function for a class of degenerate parabolic equations.
It is known that degenerate parabolic equations exhibit somehow different phenomena when we compare them with their elliptic counterparts. Thus, the problem of existence and properties of the Green function for degenerate parabolic boundary value problems is not completely solved, even after the contributions of [GN] and [GW4], in the sense that the existence problem is still open, even if the a priori estimates proved in [GN] will be crucial in our approach (...).
Existence and regularity for semilinear parabolic evolution equations
Existence and regularity of a global attractor for doubly nonlinear parabolic equations.
Existence and regularity of optimal solution for a dead oil isotherm problem.
Existence and regularity results for the gradient flow for -harmonic maps.
Existence and stability of asymptotically oscillatory double pulses.