$$p-$$ Harmonic Functions in the Upper Half-space

E. Abreu1, R. Clemente2, J. M. do Ó3, E. Medeiros3
1Departamento de Matemática, Universidade Federal de Minas Gerais, Belo Horizonte, Brazil
2Department of Mathematics, Rural Federal University of Pernambuco, Recife, Brazil
3Department of Mathematics, Federal University of Paraíba, João Pessoa, Brazil

Tóm tắt

This paper investigates the existence, nonexistence, and qualitative properties of p-harmonic functions in the upper half-space $$\mathbb {R}^N_+$$ $$(N\ge 3)$$ satisfying nonlinear boundary conditions for $$1

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