2019
DOI: 10.1007/978-3-030-26384-3_9
|View full text |Cite
|
Sign up to set email alerts
|

Nonlinear Boundary Value Problems

Abstract: We consider the nonlinear Dirichlet problem −u ′′ − r(x)|u| σ u = λu in (0, ∞), u(0) = 0 and lim x→∞ u(x) = 0, and develop conditions for the function r such that the considered problem has a positive classical solution. Moreover, we present some results showing that λ = 0 is a bifurcation point in W 1,2 (0, ∞) and in L p (0, ∞) (2 ≤ p ≤ ∞).

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 89 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?