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On the structure of radial solutions for some quasilinear elliptic equations

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Abstract In this paper we study entire radial solutions for the quasilinear p-Laplace equation Δ p u + k ( x ) f ( u ) = 0 where k… Click to show full abstract

Abstract In this paper we study entire radial solutions for the quasilinear p-Laplace equation Δ p u + k ( x ) f ( u ) = 0 where k is a radial positive weight and the nonlinearity behaves e.g. as f ( u ) = u | u | q − 2 − u | u | Q − 2 with q Q . In particular we focus our attention on solutions (positive and sign changing) which are infinitesimal at infinity, thus providing an extension of a previous result by Tang (2001).

Keywords: radial solutions; solutions quasilinear; quasilinear elliptic; elliptic equations; structure radial

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019

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