Optimal uniqueness theorems and exact blow-up rates of large solutions
By Julián López-Gómez. 2006
114 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/91d6ca84210ebca1228f1917b03fa640bf777450
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In Applied Mathematics
In Computational Theory and Mathematics
In Mathematical Physics
Citations in the corpus
- Blow-up rates of large solutions for elliptic equations☆ (2010, background): “Moreover, López-Gómez [25], and Cano-Casanova and López-Gómez [7] established the following optimal uniqueness result without the first expansion of solutions and the first expansion of solutions for more general weight b. (R1) Suppose Ω is a ball or an annulus, b(x) = β(d(x)), β ∈ C[0,∞) which is i”
- Boundary behavior for large solutions to elliptic equations with singular weights (2007, unknown): “[1], [2], [3], [4], [5], [7], [8], [10], [11], [14], [15], [17], [21], [23], [24], [25], [26], [27], [28], [29], [ 30 ], [31], [32], [33] and [34]) and systems (cf.”
- Necessary and sufficient conditions on solvability for Hessian inequalities (2010, background): “9) is often used to study the so-called boundary blow-up (explosive, large) solutions (see [8], [7], [13], [16], [18], [23]).”
- Keller–Osserman type conditions for some elliptic problems with gradient terms (2012, background): “A great amount of works have been also interested in the appearance of weights in the equation, both vanishing on ∂Ω [19,26,13,14,12,42,43,24] or singular at ∂Ω [10,11,23].”