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[4] Branson T., Nonlinear phenomena in the spectral theory of geometric linear differential operators, in Quan- tization, Nonlinear Partial Differential Equations, and Operator
NIRENBERG “Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary value condition I” Comm.. TRUDINGER “Elliptic
Since the spaces H p,θ γ (G) have been used in the analysis of the Dirichlet boundary value problem for nondegenerate parabolic equations [6, 5, 7], let us recall the main
We consider a system of nonlinear partial differential equations with stochastic dynamical boundary conditions that arises in models of neurophysiology for the diffusion of
Under the positivity of the associated Green’s function, the existence and multiplicity of positive solutions for the periodic boundary value problems were established by applying
A., Some generalized difference sequence spaces defined by a sequence of Orlicz functions , Aust. J., Spaces of strongly summable
The study of rational difference equations of order greater than one is quite challenging and rewarding because some prototypes for the development of the basic theory of the
In the subsequent sections we apply the basic definition to the following partial differential equations and systems: nonlinear Poisson equations, p-Laplace equations,
