Regular Variation and Differential Equations

By V. Marić. 2000

304 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/86a253ecba0188aa0eca4368e941109687c841b3

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In Computational Theory and Mathematics

Citations in the corpus

The refined Sobolev scale, interpolation and elliptic problems (2012, background): “These functions are closely related to the power functions and have numerous applications, mainly due to their special role in Tauberian-type theorems (see the monographs [15, 31, 38, 67, 121, 134] and references therein).”
Blow-up rates of large solutions for elliptic equations☆ (2010, methodology): “In this section, we present some bases of the theory which come from Seneta [31], Preliminaries in Resnick [30], Introductions and the appendix in Maric [28].”
Boundary behavior of large solutions to the Monge-Ampère equations with weights (2015, unknown): “’s book [5], Resnick’s book [38] and Maric’s book [33].”
A Complete Classification of the Isolated Singularities for Nonlinear Elliptic Equations With Inverse Square Potentials (2014, methodology): “14 in [28], we have that there exist two linearly independent regularly varying solutions z1 and z2 of (5.”
Combined effects in nonlinear singular elliptic problems in a bounded domain (2012, methodology): “Applying Karamata’s theorem (see [13, 18]), we get the following.”
Boundary blow-up elliptic problems with nonlinear gradient terms☆ (2006, background): “First let us recall some basic definitions and the properties to Karamata regular variation theory [33,36,37].”
The asymptotic behaviour of the unique solution for the singular Lane–Emden–Fowler equation (2005, background): “Let us recall some basic definitions and the properties to Karamata regular variation theory (see [24,26,27]).”