We study the structure of the family of radially symmetric ground states and singular ground states for certain elliptic partial differential equations with p-Laplacian. We use methods of Dynamical systems such as Melnikov functions, invariant manifolds, and exponential dichotomy.
GROUND STATES AND SINGULAR GROUND STATES FOR QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH CRITICAL EXPONENT / R. JOHNSON; M. FRANCA. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - STAMPA. - 4:(2004), pp. 93-120. [10.1515/ans-2004-0106]
GROUND STATES AND SINGULAR GROUND STATES FOR QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH CRITICAL EXPONENT
JOHNSON, RUSSELL ALLAN;
2004
Abstract
We study the structure of the family of radially symmetric ground states and singular ground states for certain elliptic partial differential equations with p-Laplacian. We use methods of Dynamical systems such as Melnikov functions, invariant manifolds, and exponential dichotomy.
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