Nonlinear parabolic boundary value problems in the Orlicz-Sobolev spaces
Nonlinear potential filtration equation and global actions of Lie symmetries.
Nonlocal Poincaré inequalities on Lie groups with polynomial volume growth and Riemannian manifolds
Let G be a real connected Lie group with polynomial volume growth endowed with its Haar measuredx. Given a C² positive bounded integrable function M on G, we give a sufficient condition for an L² Poincaré inequality with respect to the measure M(x)dx to hold on G. We then establish a nonlocal Poincaré inequality on G with respect to M(x)dx. We also give analogous Poincaré inequalities on Riemannian manifolds and deal with the case of Hardy inequalities.
Nonlocal symmetries and generation of solutions for partial differential equations.
Nonlocal variational problems arising in long wave propagation
Nonlocal variational problems arising in long wave propagatioN
In this paper we study the existence of minimizer for certain constrained variational problems given by functionals with nonlocal terms. This type of functionals are first integrals of evolution equations describing long wave propagation and the existence of minimizer gives the existence and the stability of traveling waves for these equations. Due to loss of compactness, the major problem is to prevent dichotomy of minimizing sequences. Our approach is an alternative to the concentration-compactness...
Nontrivial solution for a nonlocal elliptic transmission problem in variable exponent Sobolev spaces.
Nontrivial solutions for a class of superquadratic elliptic equations
Using a version of the Local Linking Theorem and the Fountain Theorem, we obtain some existence and multiplicity results for a class of superquadratic elliptic equations.
Nontrivial solutions of the asymmetric beam system with jumping nonlinear terms.
Non-unicité pour des opérateurs à caractéristiques simples
Non-unicité pour des opérateurs différentiels à caractéristiques complexes simples
Normal forms for parabolic partial differential equations
Note on hyperbolic partial differential equations
Note on the solution of transport equation by Tau method and Walsh functions.
Note on the stability of the Dirichlet problem and the Poisson equation
Note on two compatibility criteria: Jacobi-Mayer bracket vs. differential Gröbner basis.
Numerical and theoretical treating of evolution problems by the method of discretization in time
Numerical blow-up solutions for some semilinear heat equations.
Numerical blow-up time for a semilinear parabolic equation with nonlinear boundary conditions.
Numerical calculation of singularities for Ginzburg-Landau functionals.