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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 13
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 13, Issue 2, July 2006
  4. Loss of positivity in a nonlinear scalar heat equation
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 13, Issue 5-6, July 2007
Nonlinear Differential Equations and Applications NoDEA : Volume 13, Issue 4, December 2006
Nonlinear Differential Equations and Applications NoDEA : Volume 13, Issue 3, November 2006
Nonlinear Differential Equations and Applications NoDEA : Volume 13, Issue 2, July 2006
A “maximum principle for semicontinuous functions” applicable to integro-partial differential equations
On a Schrödinger equation with periodic potential and critical growth in $$\mathbb{R}^{2} $$
On the long time behaviour of solutions to dissipative wave equations in $$\mathbb{R}^{2} $$
A Zubov’s method for stochastic differential equations
Remarks on the total variation of the Jacobian
Global existence for quasilinear parabolic systems with homogeneous Neumann boundary conditions
Loss of positivity in a nonlinear scalar heat equation
Nonlinear Differential Equations and Applications NoDEA : Volume 13, Issue 1, March 2006
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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Loss of positivity in a nonlinear scalar heat equation

Content Provider SpringerLink
Author Webb, J. R. L. Infante, Gennaro
Copyright Year 2006
Abstract Using the theory of fixed point index, we discuss the existence of nontrivial (multiple) solutions of a nonlinear scalar heat equation with nonlocal boundary conditions depending on a positive parameter. Solutions lose positivity as the parameter decreases. For a certain parameter range, not all solutions can be positive but there are positive solutions for certain types of nonlinearity. We also prove a uniqueness result.
Ending Page 261
Page Count 13
Starting Page 249
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 2
Volume Number 13
Language English
Publisher Birkhäuser-Verlag
Publisher Date 2006-02-16
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Fixed point index Positive solutions of nonlinear boundary value problems positive solution Nonlocal and multipoint boundary value problems Analysis Particular nonlinear operators (superposition, Hammerstein, NemytskiÄ­, Uryson, etc.) cone Fixed-point theorems
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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