11 research outputs found
On Higher Integrability of the Gradient of Solutions to the Zaremba Problem for p-Laplace Equation
No full textA higher integrability of the gradient of a solution to the Zaremba problem in a bounded Lipschitz
plane domain is proved for an inhomogeneous p-Laplace equation
Estimates of solutions of initial-irregular oblique derivative problems for linear parabolic equations of second order with measurable coefficients
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Maximum-norm stability of the finite element Ritz projection under mixed boundary conditions
No full textQuasilinear parabolic problem with p(x)-laplacian: existence, uniqueness of weak solutions and stabilization
No full textThe boundary Harnack inequality for variable exponent p -Laplacian, Carleson estimates, barrier functions and p ( · ) -harmonic measures
No full textExistence and uniqueness of bounded weak solutions for some nonlinear parabolic problems
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Uniqueness and comparison theorems for solutions of doubly nonlinear parabolic equations with nonstandard growth conditions
Full text linkThe paper addresses the Dirichlet problem for the doubly nonlinear parabolic equation with nonstandard growth conditions: ut = div (a(x, t, u)|u|α(x, t)|∇u|p(x, t)-2 with given variable exponents α(x, t) and p(x, t). We establish conditions on the data which guarantee the comparison principle and uniqueness of bounded weak solutions in suitable function spaces of Orlicz-Sobolev type
