Abstract
UDC 517.9
We study the existence of a weak (strong) solution of the nonlinear elliptic problem
-
Δ
u
-
λ
u
g
1
+
h
(
u
)
g
2
=
f
in
V
∖
V
0
,
u
=
0
on
V
0
,
where
V
is a Sierpi\'nski gasket in
ℝ
N
-
1
,
N
≥
2
,
V
0
is its boundary (consisting of
N
its corners), and
λ
is a real parameter. Here,
f
,
g
1
,
g
2
:
V
→
ℝ
and
h
:
ℝ
→
ℝ
are functions satisfying suitable hypotheses.
Publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Subject
General Earth and Planetary Sciences,General Engineering,General Environmental Science