By Richards W. T.
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Additional info for An Intensity Gauge for ''Supersonic'' Radiation in Liquids
The anomalous case, Accad. Naz. dei Lincei, Atti dei Convegni 77, 1986, 231-257 J. Serrin, Isolated singularities of solutions of quasilinear equations, Acta Math. 113, 1965, 219-241 J. Serrin, M. Tang, Uniqueness of ground states for quasilinear elliptic equations, Indiana Univ. Math. J. 49, 2000, 897-923 J. Serrin, H. Zou, Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities, to appear in Acta Math. G. Talenti, Best constant in Sobolev inequality, Ann.
Pura Appl. L. V´ azquez, L. Veron, Removable singularities of some strongly nonlinear elliptic equations, Manuscripta Math.
10). 1 Note that κq < − m . 1 Let κ be an arbitrary real number; we will treat the two cases κ < − m and κ > κq separately. 12). 12) follows again. 9. 1). 1). 1) we have u(0) = δ p−q β and the first part of Theorem 6 follows. Since v = v(r) solves the ordinary differential equation rn−1 v (r) m−1 = rn−1 (−v q−1 (r) + v p−1 (r)), after integration over [0, r] we obtain v (r) m−1 = r 1 rn−1 tn−1 (−v q−1 (t) + v p−1 (t)) dt = 0 r 1 rn−1 tn−1 (−β q−1 + β p−1 + o(1)) dt 0 r = (−β q−1 + β p−1 + o(1)) as r → 0.
An Intensity Gauge for ''Supersonic'' Radiation in Liquids by Richards W. T.
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