On a class of anisotropic elliptic equations without Ambrosetti–Rabinowitz type conditions

On a class of anisotropic elliptic equations without Ambrosetti–Rabinowitz type conditions

This article investigates a class of anisotropic elliptic equations with non-standard growth conditions {−∑i=1N∂xi(|∂xiu|pi(x)−2∂xiu)=f(x,u)in  Ω,u=0on  ∂Ω, where Ω⊂RN (N≥3) is a bounded domain with smooth boundary ∂Ω, and pi, i=1,2,…,N are continuous functions on Ω¯ such that 1...

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Veröffentlicht in:Nonlinear analysis: real world applications 2014-04, Vol.16, p.132-145
Hauptverfasser: Chung, Nguyen Thanh, Toan, Hoang Quoc
Format: Artikel
Sprache:eng
Schlagworte:
Anisotropy
Mathematical analysis
Nonlinearity
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Zusammenfassung:This article investigates a class of anisotropic elliptic equations with non-standard growth conditions {−∑i=1N∂xi(|∂xiu|pi(x)−2∂xiu)=f(x,u)in  Ω,u=0on  ∂Ω, where Ω⊂RN (N≥3) is a bounded domain with smooth boundary ∂Ω, and pi, i=1,2,…,N are continuous functions on Ω¯ such that 1
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2013.09.012