Existence of nonlinear Lane-Emden equation offractional order
نویسندگان
چکیده
منابع مشابه
Lane-Emden Equation: perturbation method
The perturbation method is applied to numerical solution of the Lane-Emden Equation (LEE)of arbitrary index n, and the global parameters of polytropes are found as function of polytropic index n.
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We prove that the following pointwise inequality holds −∆u ≥ √ 2 (p + 1)− cn |x| a 2 u p+1 2 + 2 n− 4 |∇u|2 u in R where cn := 8 n(n−4) , for positive bounded solutions of the fourth order Hénon equation that is ∆u = |x|u in R where a ≥ 0 and p > 1. Motivated by the Moser iteration argument in the regularity theory, we develop an iteration argument to prove the above pointwise inequality. As fa...
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We classify solutions of finite Morse index of the fractional LaneEmden equation (−∆)su = |u|p−1u in R.
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Introduction The investigation of Lane Emden HLEEL equation has a long standing history Hsee, e.g., @1 10D, to mention only part of a vast literatureL. Recently Schaudt @6D has shown that Picard type iteration scheme may be used to show the existence, uniqueness and regularity of global solutions of LEE , in particular, for n 3 1. In this paper it was shown that straightforward usage of Picard ...
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ژورنال
عنوان ژورنال: Miskolc Mathematical Notes
سال: 2012
ISSN: 1787-2405,1787-2413
DOI: 10.18514/mmn.2012.453