On an Elliptic Differential-Difference Equation with Nonsymmetric Shift Operator View Full Text


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Article Info

DATE

2018-09

AUTHORS

O. V. Solonukha

ABSTRACT

An essentially nonlinear equation containing the product of the p-Laplacian and a nonsymmetric difference operator is considered. Sufficient conditions guaranteeing the coercivity and pseudomonotonicity of the corresponding nonlinear difference-differential operator are obtained. The existence of a generalized solution of the Dirichlet problem for the nonlinear equation under consideration is proved.

PAGES

572-586

References to SciGraph publications

  • 2013-12. On a class of essentially nonlinear elliptic differential-difference equations in PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS
  • 1966-07. On some non-linear elliptic differential-functional equations in ACTA MATHEMATICA
  • 2017-03. On a nonlinear nonlocal problem of elliptic type in COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
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    http://scigraph.springernature.com/pub.10.1134/s0001434618090237

    DOI

    http://dx.doi.org/10.1134/s0001434618090237

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