Application of Lipschitz viscosity solutions for higher-order partial differential equations containing the special Lagrangian operator

Using the Lipschitz continuity of a class of viscosity solutions‎, ‎we find a kind of viscosity solution for some higher-order partial differential equations containing the special Lagrangian operator‎. ‎Additionally‎, ‎we extend this analysis to equations that simultaneously contain the special Lagrangian and some other operators including ‎Laplacian.

Authors

Institutions

Publication Details

Journal
Tamkang Journal of Mathematics
Published
2025-06-06
DOI
https://doi.org/10.5556/j.tkjm.56.2025.5585
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Application of Lipschitz viscosity solutions for higher-order partial differential equations containing the special Lagrangian operator

S.A.A. Hosseini, Somayeh Saiedinezhad
Tamkang Journal of Mathematics
Differential Equations and Boundary Problems
article

Application of Lipschitz viscosity solutions for higher-order partial differential equations containing the special Lagrangian operator

S.A.A. Hosseini, Somayeh Saiedinezhad
article en

Abstract

Using the Lipschitz continuity of a class of viscosity solutions‎, ‎we find a kind of viscosity solution for some higher-order partial differential equations containing the special Lagrangian operator‎. ‎Additionally‎, ‎we extend this analysis to equations that simultaneously contain the special Lagrangian and some other operators including ‎Laplacian.

Tamkang Journal of Mathematics
Iran University of Science and Technology (IR)
Openalex Percentile: Top 67%
Differential Equations and Boundary Problems
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.