Monge-Ampère equationsviewed from contact geometry
Monogenic functions on surfaces.
Monotone method for nonlineer nonlocal hyperbolic problems.
Monotone operators. A survey directed to applications to differential equations
The paper deals with the existence of solutions of the form with operators monotone in a broader sense, including pseudomonotone operators and operators satisfying conditions and . The first part of the paper which has a methodical character is concluded by the proof of an existence theorem for the equation on a reflexive separable Banach space with a bounded demicontinuous coercive operator satisfying condition . The second part which has a character of a survey compares various types of...
Moving mesh for the axisymmetric harmonic map flow
We build corotational symmetric solutions to the harmonic map flow from the unit disc into the unit sphere which have constant degree. First, we prove the existence of such solutions, using a time semi-discrete scheme based on the idea that the harmonic map flow is the -gradient of the relaxed Dirichlet energy. We prove a partial uniqueness result concerning these solutions. Then, we compute numerically these solutions by a moving-mesh method which allows us to deal with the singularity at the...
Moving mesh for the axisymmetric harmonic map flow
We build corotational symmetric solutions to the harmonic map flow from the unit disc into the unit sphere which have constant degree. First, we prove the existence of such solutions, using a time semi-discrete scheme based on the idea that the harmonic map flow is the L2-gradient of the relaxed Dirichlet energy. We prove a partial uniqueness result concerning these solutions. Then, we compute numerically these solutions by a moving-mesh method which allows us to deal with the singularity at the...
Moyennes de solutions d'équations aux dérivées partielles
Moyennisation des champs de vecteurs et ÉDP
Moyennisation et régularité deux-microlocale
Multicomponent flow in a porous medium. Adsorption and Soret effect phenomena : local study and upscaling process
Our aim here is to study the thermal diffusion phenomenon in a forced convective flow. A system of nonlinear parabolic equations governs the evolution of the mass fractions in multicomponent mixtures. Some existence and uniqueness results are given under suitable conditions on state functions. Then, we present a numerical scheme based on a “mixed finite element” method adapted to a finite volume scheme, of which we give numerical analysis. In a last part, we apply an homogenization technique to...
Multicomponent flow in a porous medium. Adsorption and Soret effect phenomena: local study and upscaling process
Our aim here is to study the thermal diffusion phenomenon in a forced convective flow. A system of nonlinear parabolic equations governs the evolution of the mass fractions in multicomponent mixtures. Some existence and uniqueness results are given under suitable conditions on state functions. Then, we present a numerical scheme based on a "mixed finite element"method adapted to a finite volume scheme, of which we give numerical analysis. In a last part, we apply an homogenization technique to...
Multidimensional two-particles problem with non-central potential
Multiple solutions for a problem with resonance involving the -Laplacian.
Multiple solutions for nonlinear discontinuous elliptic problems near resonance
We consider a quasilinear elliptic eigenvalue problem with a discontinuous right hand side. To be able to have an existence theory, we pass to a multivalued problem (elliptic inclusion). Using a variational approach based on the critical point theory for locally Lipschitz functions, we show that we have at least three nontrivial solutions when from the left, being the principal eigenvalue of the p-Laplacian with the Dirichlet boundary conditions.
Multiple Solutions of Differential Equations Without the Palais-Smale Condition.
Multiplicity and structures for traveling wave solutions of the Kuramoto-Sivashinsky equation.
Multiplicity of positive solutions for second order quasilinear equations
We discuss the existence and multiplicity of positive solutions for a class of second order quasilinear equations. To obtain our results we will use the Ekeland variational principle and the Mountain Pass Theorem.
Multiplicity of solutions for a class of quasilinear problem in exterior domains with Neumann conditions.
Multiplicity of solutions for a quasilinear problem with supercritical growth.
Multiplicity of solutions for a singular p-laplacian elliptic equation
The existence of two continuous solutions for a nonlinear singular elliptic equation with natural growth in the gradient is proved for the Dirichlet problem in the unit ball centered at the origin. The first continuous solution is positive and maximal; it is obtained via the regularization method. The second continuous solution is zero at the origin, and follows by considering the corresponding radial ODE and by sub-sup solutions method.