On the Solvability of an Essentially Nonlinear Elliptic Differential Equation with Nonlocal Boundary Conditions

被引：0

作者：

Solonukha, O. V. ^{[1
]}

机构：

[1] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2024年 / 64卷 / 02期

关键词：

nonlocal problem; differential-difference operator; strong ellipticity condition; operator with semibounded variation;

D O I：

10.1134/S096554252402012X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sufficient conditions for the existence of a generalized solution to a nonlinear elliptic differential equation with nonlocal boundary conditions of Bitsadze-Samarskii type are proved. The strong ellipticity condition is used for an auxiliary differential-difference operator. Under the formulated conditions, the differential-difference operator is demicontinuous, coercive, and has a semibounded variation, so the general theory of pseudomonotone operators can be applied.

引用

页码：285 / 299

页数：15

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