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The Boundedness for Generalized Solutions of Quasilinear Elliptic Equations
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@Article{JPDE-4-79,
author = {Liang Xiting},
title = {The Boundedness for Generalized Solutions of Quasilinear Elliptic Equations},
journal = {Journal of Partial Differential Equations},
year = {1991},
volume = {4},
number = {3},
pages = {79--88},
abstract = { Under the appropriate conditions on u, the generalized solution of the elliptic equation ∫_G {∇v ⋅ A(x, u, ∇u) + vB(x, u, ∇u)}dx = 0, \quad ∀v ∈ {\WW}¹_p(G) ∩ L_∞(G) for which even the natural growth condition p(1 - 1/p^∗) < ϒ < p is permitted, the local and global boundedness of u are proved.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5777.html}
}
TY - JOUR
T1 - The Boundedness for Generalized Solutions of Quasilinear Elliptic Equations
AU - Liang Xiting
JO - Journal of Partial Differential Equations
VL - 3
SP - 79
EP - 88
PY - 1991
DA - 1991/04
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5777.html
KW - Elliptic equation
KW - critical exponent
KW - natural growth condition
KW - generalized solution
KW - boundedness
KW - Hölder continuity
AB - Under the appropriate conditions on u, the generalized solution of the elliptic equation ∫_G {∇v ⋅ A(x, u, ∇u) + vB(x, u, ∇u)}dx = 0, \quad ∀v ∈ {\WW}¹_p(G) ∩ L_∞(G) for which even the natural growth condition p(1 - 1/p^∗) < ϒ < p is permitted, the local and global boundedness of u are proved.
Liang Xiting. (1970). The Boundedness for Generalized Solutions of Quasilinear Elliptic Equations.
Journal of Partial Differential Equations. 4 (3).
79-88.
doi:
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