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

Raj Narayan Dhara ()
Additional contact information
Raj Narayan Dhara: Masaryk University

Partial Differential Equations and Applications, 2025, vol. 6, issue 4, 1-17

Abstract: Abstract 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.

Keywords: Existence and uniqueness; Large solution; Semilinear elliptic PDE; Boundary value problem; Sub- and super solution; Degenerate or singular problem; 35J61; 35J25; 35J70; 35J67; 35B40 (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s42985-025-00333-2 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:pardea:v:6:y:2025:i:4:d:10.1007_s42985-025-00333-2

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/42985/

DOI: 10.1007/s42985-025-00333-2

Access Statistics for this article

Partial Differential Equations and Applications is currently edited by Zhitao Zhang

More articles in Partial Differential Equations and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().