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Exact behavior around isolated singularity for semilinear elliptic equations with a log-type nonlinearity

Ghergu, Marius (author)
Univ Coll Dublin, Sch Math & Stat, Dublin 4, Ireland.,School of Mathematics and Statistics, University College Dublin, Belfield, Dublin 4, Ireland
Kim, Sunghan (author)
Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea.,Department of Mathematical Sciences, Seoul National University, Seoul 08826, Korea
Shahgholian, Henrik (author)
KTH,Matematik (Avd.),Department of Mathematics, Royal Institute of Technology, 100 44 Stockholm, Sweden
Univ Coll Dublin, Sch Math & Stat, Dublin 4, Ireland School of Mathematics and Statistics, University College Dublin, Belfield, Dublin 4, Ireland (creator_code:org_t)
WALTER DE GRUYTER GMBH, 2019
2019
English.
In: ADVANCES IN NONLINEAR ANALYSIS. - : WALTER DE GRUYTER GMBH. - 2191-9496 .- 2191-950X. ; 8:1, s. 995-1003
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • We study the semilinear elliptic equation -Delta u = u(alpha)vertical bar log u vertical bar(beta) in B-1 \ {0}, where B-1 subset of R-n, with n >= 3, n/n-2 < alpha 0, with A = [(2/alpha-1)(1-beta)(n - 2 - 2/alpha-1)](1/alpha-1).

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)
NATURAL SCIENCES  -- Mathematics (hsv//eng)
NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Keyword

Singular solutions
asymptotic behavior
log-type nonlinearity

Publication and Content Type

ref (subject category)
art (subject category)

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Ghergu, Marius
Kim, Sunghan
Shahgholian, Hen ...
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NATURAL SCIENCES
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NATURAL SCIENCES
NATURAL SCIENCES
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ADVANCES IN NONL ...
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Royal Institute of Technology
Uppsala University

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