Anisotropic (p, q)-equations with gradient dependent reaction

Partial Regularity under Anisotropic (p,q) Growth Conditions

Stereo Algorithm with Anisotropic Reaction-Diffusion Systems

The computer vision research aims at a better understanding of the human visual system and building artificial visual systems. Vision researchers in psychology and physiology have explored biological visual systems including the human vision, and obtained much knowledge on nature and architecture of their visual information processing. For example, some of previous results in experimental psych...

Optimization with the time-dependent Navier-Stokes equations as constraints

In this paper, optimal distributed control of the time-dependent Navier-Stokes equations is considered. The control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. A mixed numerical method involving a quasi-Newton algorithm, a novel calculation of the gradients and an inhomogeneous Navier-Stokes solver, to find the opt...

Anisotropic quasilinear elliptic equations with variable exponent

We study some anisotropic boundary value problems involving variable exponent growth conditions and we establish the existence and multiplicity of weak solutions by using as main argument critical point theory. 2000 Mathematics Subject Classification: 35J60, 35J62, 35J70.

A BIFURCATION RESULT FOR EQUATIONS WITH ANISOTROPIC p-LAPLACE-LIKE OPERATORS

where X is an appropriate function space and φi , F are given functions. The coefficients φi’s are different in general. In the particular case where φi(|ξ |)= |ξ |p−2, for all ξ ∈ R , for all i ∈ {1, . . . ,N}, (1.1) reduces to the p-Laplacian equation and there are several bifurcation results available (cf. [3, 4]). It seems that bifurcation problems for anisotropic elliptic operators have no...