Superharmonicity of nonlinear ground states.

Lindqvist, Peter, Manfredi, Juan, and Saksman, Eero. "Superharmonicity of nonlinear ground states.." Revista Matemática Iberoamericana 16.1 (2000): 17-28. <http://eudml.org/doc/39587>.

@article{Lindqvist2000,
abstract = {The objective of our note is to prove that, at least for a convex domain, the ground state of the p-Laplacian operatorΔpu = div (|∇u|p-2 ∇u)is a superharmonic function, provided that 2 ≤ p ≤ ∞. The ground state of Δp is the positive solution with boundary values zero of the equationdiv(|∇u|p-2 ∇u) + λ |u|p-2 u = 0in the bounded domain Ω in the n-dimensional Euclidean space.},
author = {Lindqvist, Peter, Manfredi, Juan, Saksman, Eero},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuación de Laplace; Función armónica; Ecuaciones en derivadas parciales no lineales; -Laplacian; eigenfunction; superharmonicity},
language = {eng},
number = {1},
pages = {17-28},
title = {Superharmonicity of nonlinear ground states.},
url = {http://eudml.org/doc/39587},
volume = {16},
year = {2000},
}

TY - JOUR
AU - Lindqvist, Peter
AU - Manfredi, Juan
AU - Saksman, Eero
TI - Superharmonicity of nonlinear ground states.
JO - Revista Matemática Iberoamericana
PY - 2000
VL - 16
IS - 1
SP - 17
EP - 28
AB - The objective of our note is to prove that, at least for a convex domain, the ground state of the p-Laplacian operatorΔpu = div (|∇u|p-2 ∇u)is a superharmonic function, provided that 2 ≤ p ≤ ∞. The ground state of Δp is the positive solution with boundary values zero of the equationdiv(|∇u|p-2 ∇u) + λ |u|p-2 u = 0in the bounded domain Ω in the n-dimensional Euclidean space.
LA - eng
KW - Ecuación de Laplace; Función armónica; Ecuaciones en derivadas parciales no lineales; -Laplacian; eigenfunction; superharmonicity
UR - http://eudml.org/doc/39587
ER -