New a priori estimates for -nonlinear elliptic systems with strong nonlinearities in the gradient, .
New and old function spaces in the theory of PDEs and nonlinear analysis
New Approach to Shocks Generation for Conservation Laws. Example: Global Solution to Hopf Equation
New bounds for the principal Dirichlet eigenvalue of planar regions.
New channels in three-body long-range scattering
New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals [Book]
New characterizations of asymptotic stability for evolution families on Banach spaces.
New criteria for the existence of periodic and almost periodic solutions for some evolution equations in Banach spaces.
New efficient boundary conditions for incompressible Navier-Stokes equations : a well-posedness result
New estimates for div-curl products and very weak solutions of PDEs
New estimates for elliptic equations and Hodge type systems
We establish new estimates for the Laplacian, the div-curl system, and more general Hodge systems in arbitrary dimension , with data in . We also present related results concerning differential forms with coefficients in the limiting Sobolev space .
New exact solutions for a reaction-diffusion equation and a quasi-Camassa Holm equation.
New exact solutions for the -dimensional Broer-Kaup-Kupershmidt equations.
New exact solutions of the Brusselator reaction diffusion model using the exp-function method.
New exact solutions to the nonautonomous Liouville equation.
New exact traveling wave solutions for compound KdV-Burgers equations in mathematical physics.
New exact traveling wave solutions of the ()-dimensional Zakharov-Kuznetsov (ZK) equation.
New existence and stability results for partial fractional differential inclusions with multiple delay
We discuss the existence of solutions and Ulam's type stability concepts for a class of partial functional fractional differential inclusions with noninstantaneous impulses and a nonconvex valued right hand side in Banach spaces. An example is provided to illustrate our results.
New explicit and exact solutions for the Nizhnik-Novikov-Vesselov equation.
New functional spaces and linear nonstationary problems of mathematical physics