A nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half-space.
A nonexistence result for Yamabe type problems on thin annuli
A nonexistence test for biharmonic Green's functions of clamped bodies.
A nonexistence theorem for an equation with critical Sobolev exponent in the half space.
A nonhomogeneous backward heat problem: regularization and error estimates.
A nonlinear adaptative multiresolution method in finite differences with incremental unknowns
A nonlinear boundary problem involving the -bi-Laplacian operator.
A nonlinear boundary value problem for a system of hyperbolic partial differential equations.
A nonlinear degenerate parabolic equation
A nonlinear diffusion equation with nonlinear boundary conditions: Method of lines
A nonlinear eigenvalue problem with indefinite weights related to the Sobolev trace embedding.
In this paper we study the Sobolev trace embedding W1,p(Ω) → LpV (∂Ω), where V is an indefinite weight. This embedding leads to a nonlinear eigenvalue problem where the eigenvalue appears at the (nonlinear) boundary condition. We prove that there exists a sequence of variational eigenvalues λk / +∞ and then show that the first eigenvalue is isolated, simple and monotone with respect to the weight. Then we prove a nonexistence result related to the first eigenvalue and we end this article with the...
A nonlinear elliptic boundary value problem
A nonlinear elliptic equation with singular potential and applications to nonlinear field equations
We prove the existence of cylindrical solutions to the semilinear elliptic problem , , , where , and has a double-power behaviour, subcritical at infinity and supercritical near the origin. This result also implies the existence of solitary waves with nonvanishing angular momentum for nonlinear Schr¨odinger and Klein–Gordon equations.
A nonlinear evolution equation modelling the Marangoni effect : existence of solution and numerical methods
A nonlinear evolution inclusion in perfect plasticity with friction.
A nonlinear heat equation with temperature-dependent parameters.
A non-linear hyperbolic equation.
A nonlinear oblique derivative boundary value problem for the heat equation. Part 1 : basic results
A nonlinear oblique derivative boundary value problem for the heat equation : analogy with the porous medium equation
A nonlinear oblique derivative boundary value problem for the heat equation. Part 2 : singular self-similar solutions