Multiple Solutions for a Class of N‐Laplacian Equations with Critical Growth and Indefinite Weight

Guoqing Zhang and Ziyan Yao

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: Using the suitable Trudinger‐Moser inequality and the Mountain Pass Theorem, we prove the existence of multiple solutions for a class of N‐Laplacian equations with critical growth and indefinite weight −div(|∇u|N−2∇u) + V(x)|u|N−2u = λ(|u|N−2u/|x|β) + (f(x, u)/|x|β) + ɛh(x), x ∈ ℝN, u ≠ 0, x ∈ ℝN, where 0

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/942092

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:wly:jnlaaa:v:2014:y:2014:i:1:n:942092

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().