On nonlinear and quasiliniear elliptic functional differential equations

DOI10.3934/dcdss.2016033zbMath1418.34131OpenAlexW2338954365MaRDI QIDQ317070

Olesya V. Solonukha

Publication date: 30 September 2016

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2016033

zbMATH Keywords

pseudomonotone operatorellipticity conditionstrongly elliptic operatorstrongly ellipticity algebraic condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) Boundary value problems for functional-differential equations (34K10) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items

Smoothness of solutions to the mixed problem for elliptic differential-difference equation in cylinder, Estimates of solutions of elliptic differential-difference equations with degeneration, Elliptic differential-difference equations with nonlocal potentials in a half-space, Mixed problems for strongly elliptic differential-difference equations in a cylinder, Boundary-value problems for elliptic functional-differential equations and their applications, On an elliptic differential-difference equation with nonsymmetric shift operator, Strongly elliptic differential-difference equations with mixed boundary conditions in a cylindric domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The first boundary value problem for strongly elliptic differential- difference equations
• On a class of essentially nonlinear elliptic differential-difference equations
• On some non-linear elliptic differential functional equations
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Boundary value problems for partial differential equations and certain classes of operator equations
• Bifurcation of periodic solutions for nonlinear parabolic functional differential equations arising in optoelectronics
• Nonlinear elliptic boundary value problems and the generalized topological degree
• Elliptic functional differential equations and applications