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which a nonlinear differential-difference operator is demicontinuous, coercive, and pseudomonotone

For quasilinear partial differential equations and inequalities containing nonlinearities

We consider a nonlinear degenerate parabolic equation whose spatial operator depends on a nonlocal

of nonlinear partial differential inequalities containing the fractional powers of the Laplace operator.

with degeneracy containing several different difference operators and constructed the Friedrichs extension

of the Laplace operator and with a nonlinear term of the form a(x) |∇(Δmu)|q + b(x)|∇u|s. We obtain optimal a

geometrically and physically nonlinear model of median bending.

containing fractional derivatives and a nonlinear perturbation term. The result is applied to establish

We consider the initial value problem (Forumala Presented). For a nonlinear hyperbolic equation

Reaction-diffusion equation with a bistable nonlocal nonlinearity is considered in the case where

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