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Conference Papers Year : 2022

Existence of solutions for Solitons type equations : Derrick's Problem with twice p-laplacian

Abstract

In this paper we study a class of Lorentz invariant nonlinear field equations in several space dimensions. The fields are characterized by a topological invariant, which we call the charge. We prove the existence of a static solution which minimizes the energy among the configurations with nontrivial charge. In this spirit, a considerable amount of work has been done by V. Benci and collaborators and a model equation proposed in [2] will be the topic of this paper. The main purpose is to obtain soliton-like solutions with twice p-Laplacian.
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Dates and versions

hal-03712446 , version 1 (03-07-2022)

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  • HAL Id : hal-03712446 , version 1

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Abdelkader Dellal, Johnny Henderson, Abdelghani Ouahab. Existence of solutions for Solitons type equations : Derrick's Problem with twice p-laplacian. CARI 2022, Oct 2022, Tunis, Tunisia. ⟨hal-03712446⟩

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