Results 1 to 10 of about 36,594 (305)
On Coron's problem for the p-Laplacian [PDF]
Journal of Mathematical Analysis and Applications, 2014 We prove that the critical problem for the $p$-Laplacian operator admits a nontrivial solution in annular shaped domains with sufficiently small inner hole.
Mercuri, Carlo +2 more
core +6 more sources
Weak perturbations of the p-Laplacian [PDF]
Calculus of Variations and Partial Differential Equations, 2014 We consider the p-Laplacian in R^d perturbed by a weakly coupled potential. We calculate the asymptotic expansions of the lowest eigenvalue of such an operator in the weak coupling limit separately for p>d and p=d and discuss the connection with Sobolev ...
Ekholm, Tomas +2 more
core +6 more sources
On the fractional p-Laplacian problems [PDF]
Journal of Inequalities and Applications, 2021 This paper deals with nonlocal fractional p-Laplacian problems with difference. We get a theorem which shows existence of a sequence of weak solutions for a family of nonlocal fractional p-Laplacian problems with difference.
Q-Heung Choi, Tacksun Jung
doaj +2 more sources
On principal frequencies and inradius in convex sets [PDF]
Bruno Pini Mathematical Analysis Seminar, 2018 We generalize to the case of the p-Laplacian an old result by Hersch and Protter. Namely, we show that it is possible to estimate from below the first eigenvalue of the Dirichlet p-Laplacian of a convex set in terms of its inradius. We also prove a lower
Lorenzo Brasco
doaj +4 more sources
Radial symmetry for a generalized nonlinear fractional p-Laplacian problem
Nonlinear Analysis, 2021 This paper first introduces a generalized fractional p-Laplacian operator (–Δ)sF;p. By using the direct method of moving planes, with the help of two lemmas, namely decay at infinity and narrow region principle involving the generalized fractional p ...
Wenwen Hou +3 more
doaj +1 more source
$Kite_{p+2,p}$ is determined by its Laplacian spectrum [PDF]
Transactions on Combinatorics, 2021 $Kite_{n,p}$ denotes the kite graph that is obtained by appending complete graph with order $p\geq4$ to an endpoint of path graph with order $n-p$. It is shown that $Kite_{n,p}$ is determined by its adjacency spectrum for all $p$ and $n$ [H.
Hatice Topcu
doaj +1 more source
Notes on aplications of the dual fountain theorem to local and nonlocal elliptic equations with variable exponent [PDF]
Opuscula Mathematica, 2022 Using the Dual Fountain Theorem we obtain some existence of infinitely many solutions for local and nonlocal elliptic equations with variable exponent. Our results correct some of the errors that have appeared recently in the literature.
Robert Stegliński
doaj +1 more source
Blow-up in a p-Laplacian mutualistic model based on graphs
AIMS Mathematics, 2023 In this paper, we study a $ p\, $-Laplacian ($ p > 2 $) reaction-diffusion system based on weighted graphs that is used to describe a network mutualistic model of population ecology.
Ling Zhou, Zuhan Liu
doaj +1 more source
Mathematics, 2021 Unravelling how the human brain structure gives rise to function is a central question in neuroscience and remains partially answered. Recent studies show that the graph Laplacian of the human brain’s structural connectivity (SC) plays a dominant role in
Jichao Ma +3 more
doaj +1 more source
On Critical p-Laplacian Systems
Advanced Nonlinear Studies, 2017 We consider the critical p-Laplacian ...
Guo Zhenyu, Perera Kanishka, Zou Wenming
doaj +1 more source