General uniqueness results for large solutions
We give a series of very general sufficient conditions in order to ensure the uniqueness of positive large solutions for - Δ u + f ( x , u ) = 0 in a bounded domain Ω where f : Ω ¯ × R ↦ R + is a continuous function, such that f ( x , 0 ) = 0 for x ∈ Ω ¯ , and f ( x , r ) > 0 for x in a neighborh...
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| Veröffentlicht in: | Zeitschrift für angewandte Mathematik und Physik 2020-08, Vol.71 (4), p.1-14, Article 109 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We give a series of very general sufficient conditions in order to ensure the uniqueness of positive large solutions for
-
Δ
u
+
f
(
x
,
u
)
=
0
in a bounded domain
Ω
where
f
:
Ω
¯
×
R
↦
R
+
is a continuous function, such that
f
(
x
,
0
)
=
0
for
x
∈
Ω
¯
, and
f
(
x
,
r
)
>
0
for
x
in a neighborhood of
∂
Ω
and all
r
>
0
. |
|---|---|
| ISSN: | 0044-2275 1420-9039 |
| DOI: | 10.1007/s00033-020-01325-5 |