Author:
Baraket Sami,Dridi Brahim,Grine Azedine,Jaidane Rached
Abstract
AbstractThis article aims to investigate the existence of nontrivial solutions with minimal energy for a logarithmic weighted $(N,p)$
(
N
,
p
)
-Laplacian problem in the unit ball B of $\mathbb{R}^{N}$
R
N
, $N>2$
N
>
2
. The nonlinearities of the equation are critical or subcritical growth, which is motivated by weighted Trudinger–Moser type inequalities. Our approach is based on constrained minimization within the Nehari set, the quantitative deformation lemma, and degree theory results.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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