TITLE:
Existence and Multiplicity of Solutions for Double Phase Problems with Indefinite Weight in ℝ N
AUTHORS:
Hailan Li
KEYWORDS:
Double Phase Problem, Indefinite Weight, Variational Methods, Critical Point Theory
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.14 No.10,
October
28,
2026
ABSTRACT: In this paper, we study a class of double phase problems with indefinite weight:
−div(
a(
x
)
|
∇u |
p−2
∇u+
|
∇u |
q−2
∇u
)+V(
x
)
| u |
q−2
u=K(
x
)f(
u
) in
ℝ
N
,
where
N≥3
,
1