Applications of maximum modulus method and Phragmén-Lindelöf method for second-order boundary value problems with respect to the Schrödinger operator

DOI10.1186/s13661-019-1267-0OpenAlexW2977698005MaRDI QIDQ2108381

Yanyan Li

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1267-0

zbMATH Keywords

uniquenessSchrödinger operatorboundary value problemmaximum modulus

Mathematics Subject Classification ID

Parabolic equations and parabolic systems (35Kxx) Elliptic equations and elliptic systems (35Jxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Related Items

An application of Phragmén-Lindelöf theorem to the existence of ground state solutions for the generalized Schrödinger equation with optimal control

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on periodic solutions of Riccati equations
• Strong uniqueness theorems and the Phragmèn-Lindelöf principle in nonhomogeneous elastostatics
• Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term
• Blow up results and localization of blow up points for the heat equation with a nonlinear boundary condition
• Run for your life. A note on the asymptotic speed of propagation of an epidemic
• A transmission problem in the calculus of variations
• On the priori estimate of maximum modulus of solutions to a system of diagonally degenerate elliptic equations
• Porous medium equation with absorption and a nonlinear boundary condition
• Mathematical biology. Vol. 1: An introduction.
• Minimax theorems
• On the existence of periodic solutions for a class of generalized forced Liénard equations
• Integral representations for the solutions of infinite order of the stationary Schrödinger equation in a cone
• Some global results for nonlinear eigenvalue problems
• Topics in stability and bifurcation theory
• Logarithmically improved regularity criterion for the nematic liquid crystal flows in \(\dot B_{\infty,\infty}^{-1}\) space
• A Free Boundary Problem Arising in a Model of Wound Healing
• On Existence and Nonexistence in the Large of Solutions of Parabolic Differential Equations with a Nonlinear Boundary Condition
• Remarks on Darcy's Law
• Properties of the intermediate point from the Taylor's theorem
• Periodic behaviour for the evolutionary dam problem and related free boundary problems Evolutionary dam problem
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• A new approch to evolution free boundary problems
• On the uniqueness of the solution of the evolution dam problem
• La vitesse de propagation dans le problème de la digue
• A free boundary problem for a predator–prey model
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
• The Design and Interpretation of Experiments based on a Four-fold Table : the Statistical Assessment of the Effect of Treatment