Some recent results on singular p-Laplacian systems

U Guarnotta, R Livrea, SA Marano - arXiv preprint arXiv:2207.02452, 2022 - arxiv.org
arXiv:2207.02452v1 [math.AP] 6 Jul 2022 Some recent results on singular p-Laplacian systems
Page 1 arXiv:2207.02452v1 [math.AP] 6 Jul 2022 Some recent results on singular p-Laplacian …

A nonlocal elliptic system with nonlinear singular terms

K Biroud - Complex Variables and Elliptic Equations, 2024 - Taylor & Francis
In this work we deal with the nonlocal elliptic system:(S){(− Δ) s 1 u= θ vqu 1− θ in Ω,(− Δ) s 2
v= qvq− 1 u θ in Ω, u= v= 0 in RN∖ Ω, u, v> 0 in Ω, where Ω⊂ RN is a bounded regular …

Constant-sign and nodal solutions for singular quasilinear Lane–Emden type systems

A Moussaoui - Zeitschrift für angewandte Mathematik und Physik, 2024 - Springer
We establish the existence of multiple solutions for singular quasilinear Lane–Emden type
systems with a precise sign information: two unique solutions of opposite constant sign and …

Existence results for some nonlinear elliptic systems on graphs

S Man - Journal of Mathematical Analysis and Applications, 2025 - Elsevier
In this paper, several nonlinear elliptic systems are investigated on graphs. One type of the
Sobolev embedding theorem and a new version of the strong maximum principle are …

SOME GLOBAL EXISTENCE RESULTS ON LOCALLY FINITE GRAPHS

S MAN, G ZHANG - Journal of the Australian Mathematical Society, 2024 - cambridge.org
Let be a locally finite graph with the vertex set V and the edge set E, where both V and E are
infinite sets. By dividing the graph G into a sequence of finite subgraphs, the existence of a …

A Variational Approach to Quasilinear Elliptic Problems with Gradient Dependence

GCG Santos, LS Tavares - Bulletin of the Brazilian Mathematical Society …, 2023 - Springer
In this paper, we consider a class of quasilinear elliptic equations with gradient terms which
arise in several applications in the theory of Heidelberg Ferromagnetism and Magnus …

Multiplicity of Solutions for a singular Problem Involving the n-Laplacian

Z Wu, H Chen - Qualitative Theory of Dynamical Systems, 2024 - Springer
In this paper, we study the following n-Laplacian equation with singular and exponential
nonlinearities-Δ nu= λ u-q+ up-1 eu β| x| α in Ω, u> 0 in Ω, u= 0 on∂ Ω, where Ω is a …