Uniqueness for Entropy Solutions to fully Nonlinear Equations
DOI:
https://doi.org/10.24297/jam.v5i2.7239Keywords:
entropic solution, nonlinear elliptic equation, uniqueness solutionAbstract
Let X be a metric space, the space of
measurable funtions,
be a domain whith boundary
and a(x;
) be an operator of Leray-Lions type. If
and
are nondecreasing continuous function on R such that
(0) =
(0) = 0 and (f; g)
L1 (X;
;
), then, there exists a unique entropy solution u in M(X; B;
) to the problem [a(.,Du)] +
(u) = and a(.,Du)v+
(u) = g on
.
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Published
2013-12-23
How to Cite
KOURAICHI, C., & SIAI, A. (2013). Uniqueness for Entropy Solutions to fully Nonlinear Equations. JOURNAL OF ADVANCES IN MATHEMATICS, 5(2), 650–656. https://doi.org/10.24297/jam.v5i2.7239
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