Results 11 to 20 of about 35,592 (307)
On Coron's problem for the p-Laplacian [PDF]
Journal of Mathematical Analysis and Applications, 2015 6 ...
Mercuri C., Sciunzi B., Squassina M.
openaire +8 more sources
The second eigenvalue of the fractional p-Laplacian [PDF]
Advances in Calculus of Variations, 2016 AbstractWe consider the eigenvalue problem for the fractional p-Laplacian in an open bounded, possibly disconnected set ${\Omega\subset\mathbb{R}^{n}}$, under homogeneous Dirichlet boundary conditions. After discussing some regularity issues for eigenfunctions, we show that the second eigenvalue ${\lambda_{2}(\Omega)}$ is well-defined, and we ...
BRASCO, Lorenzo, Parini, Enea
openaire +10 more sources
On fractional $p$-Laplacian problems with weight [PDF]
Differential and Integral Equations, 2015 10 ...
Lehrer, R., Maia, L., Squassina, Marco
openaire +6 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
Some Liouville Theorems for the p-Laplacian
Electronic Journal of Differential Equations, 2001 19 ...
BIRINDELLI, Isabella, F. DEMENGEL
openaire +6 more sources
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
$Kite_{p+2,p}$ 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
Communications on Pure & Applied Analysis, 2003 The existence of nontrivial solutions for reversed variational inequalities involving $p$-Laplace operators is proved. The solutions are obtained as limits of solutions of suitable penalizing problems.
openaire +3 more sources
, 2023 $p$-Laplacian regularization, rooted in graph and image signal processing, introduces a parameter $p$ to control the regularization effect on these data. Smaller values of $p$ promote sparsity and interpretability, while larger values encourage smoother solutions.
Nguyen, Tuan +3 more
openaire +2 more sources
Eigenvalues for systems of fractional $p$-Laplacians [PDF]
Rocky Mountain Journal of Mathematics, 2018 We study the eigenvalue problem for a system of fractional $p-$Laplacians, that is, $$ \begin{cases} (- _p)^r u = \dfrac p|u|^{ -2}u|v|^ &\text{in } ,\vspace{.1cm} (- _p)^s u = \dfrac p|u|^ |v|^{ -2}v &\text{in } , u=v=0 &\text{in } ^c=\R^N\setminus . \end{cases} $$ We show that there is a first (smallest) eigenvalue that
Pezzo, Leandro M. Del, Rossi, Julio D.
openaire +5 more sources