Result: Positive solutions for nonlinear Neumann problems with concave and convex terms
Title:
Positive solutions for nonlinear Neumann problems with concave and convex terms
Authors:
Source:
Positivity (Dordrecht). 16(2):271-296
Publisher Information:
Heidelberg: Springer, 2012.
Publication Year:
2012
Physical Description:
print, 20 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Equations aux dérivées partielles, Partial differential equations, Calcul des variations et contrôle optimal, Calculus of variations and optimal control, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Méthodes numériques en programmation mathématique, optimisation et calcul variationnel, Numerical methods in mathematical programming, optimization and calculus of variations, Optimisation et calcul variationnel numériques, Numerical methods in optimization and calculus of variations, Analyse mathématique, Mathematical analysis, Análisis matemático, Bifurcation, Bifurcación, Equation dérivée partielle, Partial differential equation, Ecuación derivada parcial, Equation elliptique, Elliptic equation, Ecuación elíptica, Laplacien p, P laplacian, Laplaciana p, Méthode variationnelle, Variational methods, Point critique, Critical point, Punto crítico, Problème Neumann, Neumann problem, Problema Neumann, Problème non linéaire, Nonlinear problems, Réaction, Reaction, Reacción, Solution positive, Positive solution, Solución positiva, Troncature, Truncation, Truncamiento, 35B38, 35N15, 49R50, 65K10, 65Kxx, Problème elliptique
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics, National Technical University, Zografou Campus, 157 80 Athens, Greece
Department of Mathematics, Technological Educational Institute of Athens, Ag. Spyridonos Str., Egaleo, 122 10 Athens, Greece
Department of Mathematics, Technological Educational Institute of Athens, Ag. Spyridonos Str., Egaleo, 122 10 Athens, Greece
ISSN:
1385-1292
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.26018034
Database:
PASCAL Archive
Further Information
We consider a nonlinear elliptic Neumann problem driven by the p-Laplacian with a reaction that involves the combined effects of a concave and of a convex terms. The convex term (p-superlinear term) need not satisfy the Ambrosetti-Rabinowitz condition. Employing variational methods based on the critical point theory together with truncation techniques, we prove a bifurcation type theorem for the equation.