Results 51 to 60 of about 36,594 (305)
Some Liouville theorems for the p-Laplacian
Electronic Journal of Differential Equations, 2002 In this paper we propose a new proof for non-linear Liouville type results concerning the $p$-Laplacian. Our method differs from the one used by Mitidieri and Pohozaev because it uses a comparison principle that can be applied to nondivergence form ...
Isabeau Birindelli, Francoise Demengel
doaj
Weyl-type laws for fractional p-eigenvalue problems
, 2014 We prove an asymptotic estimate for the growth of variational eigenvalues of fractional p-Laplacian eigenvalue problems on a smooth bounded domain.Comment: 10 ...
Iannizzotto, Antonio, Squassina, Marco
core +1 more source
On the geometry of the $p$-Laplacian operator
, 2016 15 pages, 5 figures, Survey lecture given at the WIAS conference "Theory and Applications of Partial Differential Equations" in Dec ...
Kawohl, Bernd, Horák, Jiří
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, 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
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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
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The Insulated Conductivity Problem with p-Laplacian
Archive for Rational Mechanics and Analysis, 2023 39 pages.
Hongjie Dong, Zhuolun Yang, Hanye Zhu
openaire +2 more sources
Advanced Science, EarlyView.This study harnesses hydrodynamic flows to generate, confine and stimulate stem cell spheroids, enabling the large‐scale production of extracellular vesicles (EVs). This innovative method not only streamlines spheroid formation and subsequent EV release in a single, integrated process, but also ensures the generation of EVs with enhanced biological ...
Solène Lenoir +7 more
wiley +1 more source
Four-parameter bifurcation for a p-Laplacian system
Electronic Journal of Differential Equations, 2001 We study a four-parameter bifurcation phenomenum arising in a system involving $p$-Laplacians: $$displaylines{ -Delta_p u = a phi_p(u)+ b phi_p(v) + f(a , phi_p (u), phi_p (v)) ,cr -Delta_p v = c phi_p(u) + d phi{p}(v)) + g(d , phi_p (u), phi_p (v)), }$$
Jacqueline Fleckinger +2 more
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On the solutions to p-Poisson equation with Robin boundary conditions when p goes to +∞
Advances in Nonlinear Analysis, 2022 We study the behaviour, when p→+∞p\to +\infty , of the first p-Laplacian eigenvalues with Robin boundary conditions and the limit of the associated eigenfunctions.
Amato Vincenzo +3 more
doaj +1 more source
Local ‘Superlinearity’ and ‘Sublinearity’ for the p-Laplacian
Journal of Functional Analysis, 2009 The authors obtain existence and multiplicity results for the parametric Dirichlet problem \(\Delta_p u+f_\lambda (x,u)=0\) set in a bounded domain, both in the subcritical and critical cases. Also, as a by product, some improved strong comparison principles and \(C^{1,\alpha}\) estimates are given.
Gossez, Jean-Pierre +2 more
openaire +4 more sources