Results 11 to 20 of about 19,135,649 (331)
Weak perturbations of the p-Laplacian [PDF]
, 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 +4 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.
Brasco, Lorenzo
core +5 more sources
Existence of solutions for nonlinear p-Laplacian diference equations [PDF]
arXiv, 2016 The aim of this paper is the study of existence of solutions for non- linear p-Laplacian difference equations. In the first part, the existence of a nontrivial homoclinic solution for a discrete p-Laplacian problem is proved.
Saavedra, L., Tersian, S.
core +1 more source
Existence of Nontrivial Solutions for p-Laplacian Equations in {R}^{N} [PDF]
arXiv, 2010 In this paper, we consider a p-Laplacian equation in {R}^{N}with sign-changing potential and subcritical p-superlinear nonlinearity. By using the cohomological linking method for cones developed by Degiovanni and Lancelotti in 2007, an existence result ...
Liu, Chungen, Zheng, Youquan
core +3 more sources
On the fractional p-Laplacian problems
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 fractional p-Laplacian problems with weight [PDF]
arXiv, 2014 We investigate the existence of nonnegative solutions for a nonlinear problem involving the fractional p-Laplacian operator.
Lehrer, Raquel +2 more
core +1 more source
The game theoretic p-Laplacian and semi-supervised learning with few labels [PDF]
arXiv, 2017 We study the game theoretic p-Laplacian for semi-supervised learning on graphs, and show that it is well-posed in the limit of finite labeled data and infinite unlabeled data. In particular, we show that the continuum limit of graph-based semi-supervised learning with the game theoretic p-Laplacian is a weighted version of the continuous p-Laplace ...
J. Calder
arxiv +3 more sources
Some recent results on singular p-Laplacian equations [PDF]
Demonstratio Mathematica, 2022 A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with a special attention to the case of convective reactions.
U. Guarnotta, R. Livrea, S. Marano
semanticscholar +1 more source
Anisotropic đ-Laplacian Evolution of Fast Diffusion Type [PDF]
Advanced Nonlinear Studies, 2021 We study an anisotropic, possibly non-homogeneous version of the evolution đ-Laplacian equation when fast diffusion holds in all directions. We develop the basic theory and prove symmetrization results from which we derive sharp L1L^{1}-LâL^{\infty ...
F. Feo, J. VĂĄzquez, B. Volzone
semanticscholar +1 more source
On the logistic equation for the fractional pâLaplacian [PDF]
Mathematische Nachrichten, 2021 We consider a Dirichlet problem for a nonlinear, nonlocal equation driven by the degenerate fractional pâLaplacian, with a logisticâtype reaction depending on a positive parameter.
A. Iannizzotto +2 more
semanticscholar +1 more source