Geodesic
SINGULAR LIMITS FOR 2-DIMENSIONAL ELLIPTIC PROBLEMS INVOLVING EXPONENTIAL NONLINEARITIES WITH SUB-QUADRATIC CONVECTION TERM
Glasgow mathematical journal, Tome 55 (2013) no. 3, pp. 537-557

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DOI

Let Ω be a bounded domain with smooth boundary in R2, q∈[1,2) and x1, x2,. . .,xm ∈ Ω. In this paper we are concerned with the following type of problem:\[ -\Delta u-\lambda|\nabla u|^q = \rho^{2}e^{u}, \]with u = 0 on ∂ Ω. We use some nonlinear domain decomposition method to construct a positive weak solution vρ,λ in Ω, which tends to a singular function at each xi as the parameters ρ and λ tend to 0 independently.
DOI : 10.1017/S0017089512000729
Mots-clés : 35J60, 53C21, 58J05 
BARAKET, SAMI; OUNI, TAIEB. SINGULAR LIMITS FOR 2-DIMENSIONAL ELLIPTIC PROBLEMS INVOLVING EXPONENTIAL NONLINEARITIES WITH SUB-QUADRATIC CONVECTION TERM. Glasgow mathematical journal, Tome 55 (2013) no. 3, pp. 537-557. doi: 10.1017/S0017089512000729
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     author = {BARAKET, SAMI and OUNI, TAIEB},
     title = {SINGULAR {LIMITS} {FOR} {2-DIMENSIONAL} {ELLIPTIC} {PROBLEMS} {INVOLVING} {EXPONENTIAL} {NONLINEARITIES} {WITH} {SUB-QUADRATIC} {CONVECTION} {TERM}},
     journal = {Glasgow mathematical journal},
     pages = {537--557},
     year = {2013},
     volume = {55},
     number = {3},
     doi = {10.1017/S0017089512000729},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000729/}
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