J 2025

Existence and uniqueness of large solutions of a degenerate and/or singular semilinear elliptic problem

DHARA, Raj Narayan

Basic information

Original name

Existence and uniqueness of large solutions of a degenerate and/or singular semilinear elliptic problem

Authors

DHARA, Raj Narayan (356 India, guarantor, belonging to the institution)

Edition

Partial Differential Equations and Applications, Springer, 2025, 2662-2963

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10101 Pure mathematics

Country of publisher

United Kingdom of Great Britain and Northern Ireland

Confidentiality degree

is not subject to a state or trade secret

References:

Impact factor

Impact factor: 1.600 in 2024

Organization unit

Faculty of Science

UT WoS

001502159800001

EID Scopus

2-s2.0-105007231961

Keywords in English

Existence and uniqueness; Large solution; Semilinear elliptic PDE; Boundary value problem; Sub- and super solution; Degenerate or singular problem

Tags

Tags

International impact, Reviewed
Changed: 13/6/2025 13:40, Mgr. Marie Novosadová Šípková, DiS.

Abstract

In the original language

We show an existence and a uniqueness result for large solution to a degenerate and/or singular semilinear elliptic problem with its blow-up rate which is influenced by the degeneracy or singularity. It has been proved by showing, however of independent interest, an existence and a uniqueness of a weak solution of a degenerate and/or singular semilinear elliptic boundary value (nonhomogeneous) problem by penalty method for given weak sub- and supersolution.

Links

GJ19-14413Y, research and development project
Name: Lineární a nelineární eliptické rovnice se singulárními daty a související problémy
Investor: Czech Science Foundation