On the Radial Ground State of <em>p</em>-Laplacian Equation Involving Super-critical or Critical Exponents
Year: 2000
Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 3 : pp. 193–206
Abstract
In this paper, we consider the existence and uniqueness of the radial ground state to the following p-Laplacian equation involving super-critical or critical exponents: Δ_pu + u^q - |Du|^σ = 0, x ∈ R^n, 2 ≤ p < n, q ≥ [n(p - 1) + p]/(n - p), σ > 0. Applying the shooting argument, the Schauder's fixed point theorem and some delicate estimates of auxiliary functions, we study the influence of the parameters n, p, q, σ on the existence and uniqueness of the radial ground state to the above p-Laplacian equation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2000-JPDE-5506
Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 3 : pp. 193–206
Published online: 2000-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: p-Laplacian equation