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RENDICONTI DEL SEMINARIO MATEMATICO

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88 M. Franca[32] KABEYA Y., YANAGIDA E. AND YOTSUTANI S., Existence of nodal fast-decay solutions todiv(|∇u| m−2 ∇u) + K(|x|)|u| q−1 u = 0, Diff. Int. Eq. 9 (5) (1996), 981–1004.[33] KABEYA Y., YANAGIDA E. AND YOTSUTANI S., Canonical forms and structure theorems forradial solutions to semi-linear elliptic problem, Comm. Pure Appl. An. 1 (2002), 85–102.[34] KAWANO N., NI W.M. AND YOTSUTANI S., A generalized Pohozaev identity and its applications,J. Math. Soc. Japan 42 (1990), 541–564.[35] KAWANO N., YANAGIDA E. AND YOTSUTANI S., Structure theorems for positive radial solutionsto div(|Du| m−2 Du) + K(|x|)u q = 0 in R n , J. Math. Soc. Japan 45 (1993), 719–742.[36] LIN C. S. AND NI W.M., A counterexample to the nodal line conjecture and a related semilinearequation, Proc. Amer. Math. 102 (2) (1988), 271–277.[37] MYOGAHARA H., YANAGIDA E. AND YOTSUTANI S., Structure of positive radial solutions forsemi-linear Dirichlet problems on a ball, Funkcialaj Ekvacioj 45 (2002), 1–21.[38] NI W.M. AND SERRIN J., Nonexistence theorems for quasilinear partial differential equations,Rend. Circolo Mat. Palermo 8 (1985), 171–185.[39] POLACIK P. AND YANAGIDA E., A Liouville property and quasiconvergence for a semilinear equation,J. Diff. Eqn. 208 (2005), 194–214.[40] PAPINI D. AND ZANOLIN F., Chaotic dynamics for non-linear Hill’s equation, Georgian Math. J.9 (2002).[41] PUCCI P. AND SERRIN J., Uniqueness of ground states for quasilinear elliptic operators, IndianaUniv. Math. J. 47 (1998), 501–528.[42] SERRIN J. AND ZOU H., Symmetry of ground states of quasilinear elliptic equations, Arch. Rat.Mech. Anal. 148 (1985).[43] YANAGIDA E. AND YOTSUTANI S., Existence of positive radial solutions to u + K(|x|)u p = 0in R n , J. Diff. Eqn. 115 (1995), 477–502.[44] ZHOU H., Simmetry of ground states for semilinear elliptic equations with mixed Sobolev growth,Indiana Univ. Math. J. 45 (1996), 221–240.AMS Subject Classification: 35J70, 34C37.Matteo FRANCA, Dipartimento di Scienze Matematiche, Università Politecnica delle Marche, via BrecceBianche,60131 Ancona, Italye-mail: franca@dipmat.univpm.it

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