Boundary value problems for local and nonlocal Liouville type equations with several exponential type nonlinearities. Radial and nonradial solutions

Boundary value problems for local and nonlocal Liouville type equations with several exponential type nonlinearities. Radial and nonradial solutions

Abstract This paper deals with boundary value problems for local and nonlocal Laplace operator in 2D with exponential nonlinearities, the so-called Liouville type equations. They include the mean field equation and other equations arising in the statistical mechanics. Existence results into an expli...

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Bibliographic Details
Main Authors: Angela Slavova, Petar Popivanov
Format: Article
Language:English
Published: SpringerOpen 2021-08-01
Series:Advances in Difference Equations
Subjects:
Nonlocal PDE
Liouville type elliptic equation
Dirichlet problem
Radial solution
Blaschke product
Cauchy problem
Online Access:https://doi.org/10.1186/s13662-021-03543-1

Internet

https://doi.org/10.1186/s13662-021-03543-1

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