A biharmonic elliptic problem with dependence on the gradient and the Laplacian.
A convergence result for the Gradient Flow of ∫ |A| 2 in Riemannian Manifolds
We study the gradient flow of the L2−norm of the second fundamental form for smooth immersions of two-dimensional surfaces into compact Riemannian manifolds. By analogy with the results obtained in [10] and [11] for the Willmore flow, we prove lifespan estimates in terms of the L2−concentration of the second fundamental form of the initial data and we show the existence of blowup limits. Under special condition both on the initial data and on the target manifold, we prove a long time existence result...
A nonlinear evolution equation modelling the Marangoni effect : existence of solution and numerical methods
A remark on infinity-harmonic functions.
A topological structure of solution sets to evolution systems
Absence of nontrivial solutions for a class of partial differential equations and systems in unbounded domains.
Absence of solutions to higher-order evolution differential inequalities.
An efficient applications of He's variational iteration method based on a reliable modification of Adomian algorithm for nonlinear boundary value problems.
An eigenvalue problem for the complex Monge-Ampère operator in pseudoconvex domains
Analyse mathématique de modèles variationells en simulation pétrolière. Le cas du modèle black-oil pseudo-compositionnel standard isoterme.
The aim of the paper is an analytical and numerical approach to the pseudo-compositional black-oil model for simulating a 3-D isothermal constrained polyphasic flow in porous media, taking into account realistic boundary conditions. The handling of the component conservation laws leads to a strongly coupled system including parabolic quasilinear degenerated equations and first-order hyperbolic inequalities: the introduction of unilateral problems arises from the nature of the thermodynamical equilibrium...
Analysis of a mathematical model related to Czochralski crystal growth.
Boundary value problems for generalized analytic functions of several complex variables
Continuous spectrum of a fourth order nonhomogeneous elliptic equation with variable exponent.
Deformation from symmetry for Schrödinger equations of higher order on unbounded domains.
Difference methods for the Darboux problem for functional partial differential equations
Eine globalanalytische Behandlung des Douglas'schen Problems.
Existence of solutions for fourth-order PDEs with variable exponents.
Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundary.
Fredholm alternatives and surjectivity results for multivalued -proper and condensing mappings with applications to nonlinear integral and differential equations
G-convergence of monotone operators