Title: Morrey spaces: introduction and applications to integral operators and PDE's/Yoshihiro
Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim. Description: First edition.| Boca Raton …

We prove existence and nonexistence results for positive solutions to the subelliptic Brezis-
Nirenberg type problem with Hardy potential $$-\Delta_ {\mathbb G} u-\mu\frac {\psi^ 2}{d …

The purpose of this paper is twofold: first we study an eigenvalue problem for the fractional p-
sub-Laplacian over the fractional Folland–Stein–Sobolev spaces on stratified Lie groups …

arXiv:2408.00013v2 [math.AP] 27 Sep 2024 Page 1 arXiv:2408.00013v2 [math.AP] 27 Sep 2024
FACTORIZATIONS AND POWER WEIGHTED RELLICH AND HARDY–RELLICH-TYPE …

In this paper, we establish the sharp fractional subelliptic Sobolev inequalities and
Gagliardo-Nirenberg inequalities on stratified Lie groups. The best constants are given in …

In this note, we give several characterizations of weights for two-weight Hardy inequalities to
hold on general metric measure spaces possessing polar decompositions. Since there may …

In this paper we show a number of logarithmic inequalities on several classes of Lie groups:
log-Sobolev inequalities on general Lie groups, log-Sobolev (weighted and unweighted) …

The Novikov equation is a peakon equation with cubic nonlinearity, which, like the Camassa–
Holm and the Degasperis–Procesi, is completely integrable. In this paper, we study the …

In this work, our main concern is to study the existence and multiplicity of solutions for the
following sub-elliptic system with Hardy type potentials and multiple critical exponents on …

In this paper, we continue our investigations giving the characterization of weights for two-
weight Hardy inequalities to hold on general metric measure spaces possessing polar …