Existence for fractional (p, q) systems with critical and Hardy terms in RN

P Pucci, L Temperini - Nonlinear Analysis, 2021 - Elsevier
This paper deals with the existence of entire nontrivial solutions for fractional (p, q) systems
with critical Hardy terms in R N. Existence of solutions for system (S) is derived via the …

[PDF][PDF] On the concentration-compactness principle for Folland-Stein spaces and for fractional horizontal Sobolev spaces

P Pucci, L Temperini - Math. Eng, 2023 - aimspress.com
In this paper we establish some variants of the celebrated concentration–compactness
principle of Lions–CC principle briefly–in the classical and fractional Folland–Stein spaces …

The concentration-compactness principles for Ws,p(·,·)(ℝN) and application

K Ho, YH Kim - Advances in Nonlinear Analysis, 2020 - degruyter.com
We obtain a critical imbedding and then, concentration-compactness principles for fractional
Sobolev spaces with variable exponents. As an application of these results, we obtain the …

On critical double phase problems in RN involving variable exponents

HH Ha, K Ho - Journal of Mathematical Analysis and Applications, 2025 - Elsevier
We establish a Lions-type concentration-compactness principle and its variant at infinity for
Musielak-Orlicz-Sobolev spaces associated with a double phase operator with variable …

Entire solutions for some critical equations in the Heisenberg group

P Pucci, L Temperini - Opuscula Mathematica, 2022 - opuscula.agh.edu.pl
We complete the study started in the paper [P. Pucci, L. Temperini, On the concentration-
compactness principle for Folland-Stein spaces and for fractional horizontal Sobolev …

Existence and multiplicity of solutions for critical nonlocal equations with variable exponents

S Liang, P Pucci, B Zhang - Applicable Analysis, 2023 - Taylor & Francis
In this paper, we are interested in a class of critical nonlocal problems with variable
exponents of the form:{M (T p (⋅,⋅)(u))[(− Δ) p (x, y) su+| u| p~(x)− 2 u]= λ f (x, u)+| u| q (x)− 2 …

Existence of Solutions to Fractional p-Laplacian Systems with Homogeneous Nonlinearities of Critical Sobolev Growth

G Lu, Y Shen - Advanced Nonlinear Studies, 2020 - degruyter.com
In this paper, we investigate the existence of nontrivial solutions to the following fractional p-
Laplacian system with homogeneous nonlinearities of critical Sobolev growth:{(-Δ p) s⁢ u …

The Brezis–Nirenberg Problem for the Fractional p-Laplacian in Unbounded Domains

YS Shen - Acta Mathematica Sinica, English Series, 2023 - Springer
In this paper we study the existence of nontrivial solutions to the well-known Brezis–
Nirenberg problem involving the fractional p-Laplace operator in unbounded cylinder type …

Solutions with various structures for semilinear equations in driven by fractional Laplacian

AI Nazarov, AP Shcheglova - Calculus of Variations and Partial Differential …, 2023 - Springer
We study bounded solutions to the fractional equation (-Δ) su+ u-| u| q-2 u= 0 in R n for n≥ 2
and subcritical exponent q> 2. Applying the variational approach based on concentration …

Subelliptic Nonlocal Brezis-Nirenberg Problems on Stratified Lie Groups

S Ghosh, V Kumar, M Ruzhansky - arXiv preprint arXiv:2409.03867, 2024 - arxiv.org
In this paper, we investigate the subelliptic nonlocal Brezis-Nirenberg problem on stratified
Lie groups involving critical nonlinearities, namely,\begin {align*}(-\Delta_ {\mathbb {G}, p}) …