The convective eigenvalues of the one-dimensional \(p\)-Laplacian as \(p\rightarrow 1\)

DOI10.1016/j.jmaa.2019.123738zbMath1433.34113OpenAlexW2991529292MaRDI QIDQ2287321

José C. Sabina De Lis, Sergio Segura de León, Bernardo de la Calle Ysern

Publication date: 20 January 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123738

zbMATH Keywords

asymptotic behavioreigenvalues and eigenfunctionsone-dimensional \(p\)-Laplacian operatorone-dimensional 1-Laplacian operator

Mathematics Subject Classification ID

Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items

1D logistic reaction and \(p\)-Laplacian diffusion as \(p\) goes to one

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear total variation based noise removal algorithms
• Stability by Liapunov's direct method. With applications
• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• Functional analysis, Sobolev spaces and partial differential equations
• Global bifurcation from the eigenvalues of the \(p\)-Laplacian
• Sturm-Liouville theory for the radial \(\Delta_p\)-operator
• Parabolic quasilinear equations minimizing linear growth functionals
• A local bifurcation theorem for degenerate elliptic equations with radial symmetry
• Dirichlet problems for the \(p\)-Laplacian with a convection term
• Eigenvalue analysis for the \(p\)-Laplacian under convective perturbation
• Necessary condition for eigensolutions of the 1-Laplace operator by means of inner variations
• Convergence of the eigenvalues of the \(p\)-Laplace operator as \(p\) goes to 1
• Flat Core Properties Associated to the p-Laplace Operator
• Bifurcation Phenomena Associated to the p-Laplace Operator
• The limit as $p\to 1$ of the higher eigenvalues of the $p$-Laplacian operator $\Delta_p$
• On a familiy of torsional creep problems.
• Existence of a sequence of eigensolutions for the 1-Laplace operator
• THE SPECTRUM OF THE 1-LAPLACE OPERATOR
• Minimizing total variation flow
• On Some Nonlinear Partial Differential Equations Involving the “1”-Laplacian and Critical Sobolev Exponent
• On the Asymptotic Behaviour of Solutions of a Differential Equation in Boundary Layer Theory
• Uniqueness to quasilinear problems for the \(p\)-Laplacian in radially symmetric domains
• The Dirichlet problem for the total variation flow
• Stationary profiles of degenerate problems when a parameter is large