Advances in Calculus of Variations
Managing Editor: Duzaar, Frank / Kinnunen, Juha
Editorial Board: Armstrong, Scott N. / Balogh, Zoltán / Cardiliaguet, Pierre / Dacorogna, Bernard / Dal Maso, Gianni / DiBenedetto, Emmanuele / Fonseca, Irene / Gianazza, Ugo / Ishii, Hitoshi / Kristensen, Jan / Manfredi, Juan / Martell, Jose Maria / Mingione, Giuseppe / Nystrom, Kaj / Riviére, Tristan / Schaetzle, Reiner / Shen, Zhongwei / Silvestre, Luis / Tonegawa, Yoshihiro / Touzi, Nizar / Wang, Guofang
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IMPACT FACTOR 2017: 1.676
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Source Normalized Impact per Paper (SNIP) 2017: 1.138
Mathematical Citation Quotient (MCQ) 2017: 1.15
Large solutions for the infinity Laplacian
In this paper, we study existence, uniqueness and asymptotic behavior near the boundary of solutions to
in Ω with an explosive boundary condition u(x) → +∞ as x → ∂Ω. We find that there exists a solution if and only if q > 1. Moreover, when the domain Ω is sufficiently regular, such a solution is unique and verifies
as dist(x, ∂Ω) → 0.
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