Custom Monotonicity Methods

Martin Schechter

Chapter Chapter 12 in Critical Point Theory, 2020, pp 213-224 from Springer

Abstract: Abstract Consider the problem − Δ u = f ( x , u ) , x ∈ Ω ; u = 0 on ∂ Ω , $$\displaystyle - \Delta u=f(x,u), \; x \in \Omega \,; \quad u=0 \;\;\mathrm {on}\; \; \partial \Omega , $$ where Ω ⊂ ℝ n $$\Omega \subset \mathbb R^n$$ is a bounded domain whose boundary is a smooth manifold, and f(x, t) is a continuous function on Ω ̄ × ℝ . $$\bar \Omega \times \mathbb R.$$ The following theorem will be a corollary of the results of this chapter.

Date: 2020
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-45603-0_12

Ordering information: This item can be ordered from
http://www.springer.com/9783030456030

DOI: 10.1007/978-3-030-45603-0_12

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().