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Musina On the existence of extremal functions for a weighted Sobolev embedding with critical exponent, Calc. Caffarelli - R. Kohn - L. Nirenberg, First order interpolation inequalities with weight, Compositio Math. Castorina - I. Fabbri - G. Mancini - K. Catrina - Z. Wang, On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence and nonexistence , and symmetry of extremal functions, Comm. Pure Appl. DAmbrosio, Hardy type inequalities related to degenerate elliptic differential operators, Ann. Scuola Norm. Pisa Cl.

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Kawohl, Symmetry results for functions yielding best constants in Sobolev-type inequalities, Discrete Contin. Systems 6 , Mancini - I. Fabbri - K. Sandeep, Classification of solutions of a critical Hardy Sobolev operator, J. Differential Equations , Sandeep, Cylindrical symmetry of extremals of a Hardy-Sobolev inequality, Ann. Pura Appl. Musina, Ground state solutions of a critical problem involving cylindrical weights, Nonlinear Analysis TMA, to appear. Smets - J. Willem, Non-radial ground states for the Henon equation, Comm.

Tertikas - K. Pura e Appl. Terracini, On positive entire solutions to a class of equations with a singular coefficient and critical exponent, Adv.

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Gazzini M. Marque por contenido inapropiado. Carrusel Anterior Carrusel Siguiente. Advances in Deterministic and Stochastic Analysis Buscar dentro del documento. Preliminaries We start by recalling the following definition from [12] and [11]. Moreover we have that v achieves Sp,cyl if and only if Lv 1, N.

More precisely, we choose 0 such that p2 2 p 1 0 p Sp , 3. Breaking symmetry The reason for the phenomenon described in Theorem 0. RN The conclusion easily follows. Equality can not hold, since the Hardy constant is not achieved. RN Then the Morse index of any cylindrically symmetric solution v to 0.

We compare here the best 2 k N k constants Sp and Sp,cyl. RN As a Corollary to Theorem 0. Documentos similares a Gazzini M. Monirul Islam. Semar Ngantuk. Anonymous PPYjNtt. Jorge F. Joseph P. Conlon, Carlos A. Herdeiro: Can black hole superradiance be induced by galactic plasmas? Juan Carlos Degollado, Carlos A. Lillo-Box, D.

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