Localization and multiplicity in the homogenization of nonlinear problems
Abstract: We propose a method for the localization of solutions for a class of nonlinear problems arising in the homogenization theory. The method combines concepts and results from the linear theory of PDEs, linear periodic homogenization theory, and nonlinear functional analysis. Particularly, we use the Moser-Harnack inequality, arguments of fixed point theory and Ekeland's variational principle. A significant gain in the homogenization theory of nonlinear problems is that our method makes possible the emergence of finitely or infinitely many solutions.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Localization and multiplicity in the homogenization of nonlinear problems ; volume:9 ; number:1 ; year:2019 ; pages:292-304 ; extent:13
Advances in nonlinear analysis ; 9, Heft 1 (2019), 292-304 (gesamt 13)
- Creator
-
Bunoiu, Renata
Precup, Radu
- DOI
-
10.1515/anona-2020-0001
- URN
-
urn:nbn:de:101:1-2405021554466.907544608407
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
14.08.2025, 11:04 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Bunoiu, Renata
- Precup, Radu
Other Objects (12)
Convergence rates of nonlinear Stokes problems in homogenization
Numerical homogenization: multi-resolution and super-localization approaches
Limit Multiplicity Problem
Optimal Homogenization Rates in Stochastic Homogenization of Nonlinear Uniformly Elliptic Equations and Systems
Higher-Order Linearization and Regularity in Nonlinear Homogenization
Efficient assembly of linearized equations in nonlinear homogenization
Multiplicity of positive radial solutions of p-Laplacian problems with nonlinear gradient term
Multiplicity of Solutions For a Convex-concave Problem With a Nonlinear Boundary Condition
Multiplicity results for nonlinear Neumann boundary value problems involving p-Laplace type operators
Existence and multiplicity of solutions for second-order Dirichlet problems with nonlinear impulses
Homogenization of a nonlinear monotone problem with nonlinear signorini boundary conditions in a domain with highly rough boundary
Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary
Convergence rates of nonlinear Stokes problems in homogenization
Numerical homogenization: multi-resolution and super-localization approaches
Limit Multiplicity Problem
Optimal Homogenization Rates in Stochastic Homogenization of Nonlinear Uniformly Elliptic Equations and Systems
Higher-Order Linearization and Regularity in Nonlinear Homogenization
Efficient assembly of linearized equations in nonlinear homogenization
Multiplicity of positive radial solutions of p-Laplacian problems with nonlinear gradient term
Multiplicity of Solutions For a Convex-concave Problem With a Nonlinear Boundary Condition
Multiplicity results for nonlinear Neumann boundary value problems involving p-Laplace type operators
Existence and multiplicity of solutions for second-order Dirichlet problems with nonlinear impulses
Homogenization of a nonlinear monotone problem with nonlinear signorini boundary conditions in a domain with highly rough boundary
Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary
Convergence rates of nonlinear Stokes problems in homogenization
Numerical homogenization: multi-resolution and super-localization approaches
Limit Multiplicity Problem
Optimal Homogenization Rates in Stochastic Homogenization of Nonlinear Uniformly Elliptic Equations and Systems
Higher-Order Linearization and Regularity in Nonlinear Homogenization
Efficient assembly of linearized equations in nonlinear homogenization
Multiplicity of positive radial solutions of p-Laplacian problems with nonlinear gradient term
Multiplicity of Solutions For a Convex-concave Problem With a Nonlinear Boundary Condition
Multiplicity results for nonlinear Neumann boundary value problems involving p-Laplace type operators
Existence and multiplicity of solutions for second-order Dirichlet problems with nonlinear impulses
Homogenization of a nonlinear monotone problem with nonlinear signorini boundary conditions in a domain with highly rough boundary