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Qualitative properties and existence of sign changing solutions with compact support for an equation with a p-Laplace operator
- Source :
- Avanced Nonlinear Studies, Avanced Nonlinear Studies, 2013, ADVANCED NONLINEAR STUDIES, Artículos CONICYT, CONICYT Chile, instacron:CONICYT, Acta Applicandae Mathematicae
- Publication Year :
- 2013
- Publisher :
- HAL CCSD, 2013.
-
Abstract
- We consider radial solutions of an elliptic equation involving the p-Laplace operator and prove by a shooting method the existence of compactly supported solutions with any prescribed number of nodes. The method is based on a change of variables in the phase plane corresponding to an asymptotic Hamiltonian system and provides qualitative properties of the solutions.
- Subjects :
- Compact support principle
General Mathematics
Nodes
Nodal solutions
Sign changing
01 natural sciences
Hamiltonian system
Energy methods
Shooting method
Mathematics - Analysis of PDEs
FOS: Mathematics
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
0101 mathematics
Hamiltonian systems
Mathematics
p-Laplace operator
Operator (physics)
010102 general mathematics
Mathematical analysis
Statistical and Nonlinear Physics
Phase plane
010101 applied mathematics
Change of variables (PDE)
Elliptic curve
34C10
35B05
37B55
Laplace operator
Analysis of PDEs (math.AP)
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Avanced Nonlinear Studies, Avanced Nonlinear Studies, 2013, ADVANCED NONLINEAR STUDIES, Artículos CONICYT, CONICYT Chile, instacron:CONICYT, Acta Applicandae Mathematicae
- Accession number :
- edsair.doi.dedup.....f62660171e3846cb42ace0ec798c7c24