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Více informací o knize Existence of Explosive Solutions to Non-Monotone Semilinear Elliptic Equations

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• Anotace
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Anotace knihy

We consider the semilinear elliptic equation u = p(x)f(u) on a domain Rn, n 3, where f is a nonnegative function which vanishes at the origin and satis es g1 f g2 where g1; g2 are nonnegative, nondecreasing functions which also vanish at the origin, and p is a nonnegative continuous function with the property that any zero of p is contained in a bounded domain in such that p is positive on its boundary. For bounded, we show that a nonnegative solution u satisfying u(x) ! 1 as x ! @ exists provided the function (s) Rs 0 f(t) dt satis es R1 1 [ (s)] 1=2 ds lt; 1. For unbounded (including = Rn), we show that a similar result holds where u(x) ! 1 as jxj ! 1 within and u(x) ! 1 as x ! @ if p(x) decays to zero rapidly as jxj ! 1.

Parametry knihy

Zařazení knihy Knihy v angličtině Society & social sciences Education

• Plný název: Existence of Explosive Solutions to Non-Monotone Semilinear Elliptic Equations
• Autor: Zachary J Proano
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 52
• EAN: 9781288308156
• ISBN: 9781288308156
• ID: 08242714
• Nakladatelství: Biblioscholar
• Hmotnost: 109 g
• Rozměry: 246 × 189 × 3 mm
• Datum vydání: 16. November 2012

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