Q2082719
type: Item
instance of: scholarly article
title: \(p\)-Laplacian diffusion coupled to logistic reaction: asymptotic behavior as \(p\) goes to 1. To the memory of Professor Ireneo Peral Alonso, a brilliant mathematician, excellent person and dear friend
zbMATH Open document ID: 1500.35188
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2022-10-04T00:00:00Z
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B32
zbMATH DE Number: 7596302
zbMATH Keywords: logistic equation
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: 1-Laplacian
zbMATH Keywords: bifurcation
zbMATH Keywords: asymptotic behavior
author: José C. Sabina de Lis
author: Sergio Segura de León
MaRDI profile type: Publication
full work available at URL: s10231-022-01197-8
OpenAlex ID: W4293101313
cites work: Q4954179
cites work: Minimizing total variation flow
cites work: The Dirichlet problem for the total variation flow
cites work: Parabolic quasilinear equations minimizing linear growth functionals
cites work: Pairings between measures and bounded functions and compensated compactness
cites work: Spatial Ecology via Reaction‐Diffusion Equations
cites work: THE SPECTRUM OF THE 1-LAPLACE OPERATOR
cites work: Global bifurcation from the eigenvalues of the \(p\)-Laplacian
cites work: On Some Nonlinear Partial Differential Equations Involving the “1”-Laplacian and Critical Sobolev Exponent
cites work: 3.—A Criterion for the Existence of Solutions of Non-linear Elliptic Boundary Value Problems
cites work: Q3726641
cites work: Q3803507
cites work: C1 + α local regularity of weak solutions of degenerate elliptic equations
cites work: Q4003841
cites work: On the generalization of the Courant nodal domain theorem
cites work: Q4189096
cites work: Q3025481
cites work: Multiplicity of solutions to a nonlinear elliptic problem with nonlinear boundary conditions
cites work: Stationary patterns to diffusion problems
cites work: Stationary profiles of degenerate problems when a parameter is large
cites work: Uniqueness to quasilinear problems for the \(p\)-Laplacian in radially symmetric domains
cites work: A local bifurcation theorem for degenerate elliptic equations with radial symmetry
cites work: Bifurcation Phenomena Associated to the p-Laplace Operator
cites work: Flat Core Properties Associated to the p-Laplace Operator
cites work: On a familiy of torsional creep problems.
cites work: Q5488142
cites work: Existence and comparison results for an elliptic equation involving the 1-Laplacian and \(L^1\)-data
cites work: Q5506124
cites work: Convergence of the eigenvalues of the \(p\)-Laplace operator as \(p\) goes to 1
cites work: Metasolutions of Parabolic Equations in Population Dynamics
cites work: Necessary condition for eigensolutions of the 1-Laplace operator by means of inner variations
cites work: Mathematical biology. Vol. 1: An introduction.
cites work: Mathematical biology. Vol. 2: Spatial models and biomedical applications.
cites work: Q3093930
cites work: Radial solutions of equations and inequalities involving the \(p\)-Laplacian
cites work: Nonlinear total variation based noise removal algorithms
cites work: Simple bifurcation and global curves of solutions of \(p\)-Laplacian problems with radial symmetry
cites work: 1D logistic reaction and \(p\)-Laplacian diffusion as \(p\) goes to one
cites work: The limit as $p\to 1$ of the higher eigenvalues of the $p$-Laplacian operator $\Delta_p$
cites work: Q4746129
cites work: Regularity for a more general class of quasilinear equations
cites work: Sturm-Liouville theory for the radial \(\Delta_p\)-operator
DOI: 10.1007/S10231-022-01197-8
label: \(p\)-Laplacian diffusion coupled to logistic reaction: asymptotic behavior as \(p\) goes to 1. To the memory of Professor Ireneo Peral Alonso, a brilliant mathematician, excellent person and dear friend
description: scientific article; zbMATH DE number 7596302