Author:
Papageorgiou Nikolaos S.,Zhang Youpei
Abstract
AbstractWe consider a nonlinear Dirichlet problem driven by a general nonhomogeneous differential operator and with a reaction exhibiting the combined effects of a parametric singular term plus a Carathéodory perturbation $f(z,x,y)$
f
(
z
,
x
,
y
)
which is only locally defined in $x \in {\mathbb {R}} $
x
∈
R
. Using the frozen variable method, we prove the existence of a positive smooth solution, when the parameter is small.
Funder
China Scholarship Council
Fundamental Research Funds for Central Universities of the Central South University
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Cited by
6 articles.
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