We consider weak solutions to the Dirichlet problem {-div\, A\big (x, Du-\varTheta (u)\big)=
f\quad & in\;\varOmega,\u= 0\quad & on\; ∂\varOmega,.-div A (x, D u-Θ (u))= f in Ω, u= 0 …

Lower semicontinuity results for multiple integrals with quasiconvex integrand are obtained
in the setting of Sobolev spaces with respect to a measure and in the setting of generalised …

In their seminal paper, D i P erna and M ajda (Commun Math Phys 108 (4): 667–689, 1987)
introduced the notion of a measure-valued solution for the incompressible Euler equations …

We propose a discrete functional analysis result suitable for proving compactness in the
framework of fully discrete approximations of strongly degenerate parabolic problems. It is …

In recent years, technological progress created a great need for complex mathematical
models. Many practical problems can be formulated using optimization theory and they hope …

Existence of solutions for generalized p(x)-Laplacian systems | SpringerLink Skip to main
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We prove the existence of weak solutions to a generalized p-Laplacian systems in
degenerate form. The techniques of Young measure for elliptic systems are used to prove …

On strongly quasilinear elliptic systems with weak monotonicity Skip to content Should you
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We study well-posedness of triply nonlinear degenerate elliptic–parabolic–hyperbolic
problems of the kind in a bounded domain with homogeneous Dirichlet boundary …

We consider the Dirichlet problem for the quasilinear elliptic system− div σ (x, u (x), Du (x))= f
on Ω u (x)= 0 on∂ Ω for a function u: Ω→ Rm, where Ω is a bounded open domain in Rn. For …