Multiple positive solutions of singular -Laplacian problems by variational methods.
Perera, Kanishka, Zhang, Zhitao (2005)
Boundary Value Problems [electronic only]
Similarity:
Perera, Kanishka, Zhang, Zhitao (2005)
Boundary Value Problems [electronic only]
Similarity:
Zhang, Peng, Liao, Jia-Feng (2010)
Abstract and Applied Analysis
Similarity:
Wen-shu Zhou, Xiao-dan Wei (2010)
Annales Polonici Mathematici
Similarity:
The existence of two continuous solutions for a nonlinear singular elliptic equation with natural growth in the gradient is proved for the Dirichlet problem in the unit ball centered at the origin. The first continuous solution is positive and maximal; it is obtained via the regularization method. The second continuous solution is zero at the origin, and follows by considering the corresponding radial ODE and by sub-sup solutions method.
Laurent Véron (1987)
Banach Center Publications
Similarity:
Pedro J. Martínez-Aparicio (2009)
Bollettino dell'Unione Matematica Italiana
Similarity:
We study the existence of solution for nonlinear elliptic problems with singular lower order terms that have natural growth with respect to the gradient.
Casteras, Jean-Baptiste, Sourdis, Christos
Similarity:
We consider strongly coupled competitive elliptic systems that arise in the study of two-component Bose-Einstein condensates. As the coupling parameter tends to infinity, solutions that remain uniformly bounded are known to converge to a segregated limiting profile, with the difference of its components satisfying a limit scalar PDE. In the case of radial symmetry, under natural non-degeneracy assumptions on a solution of the limit problem, we establish by a perturbation argument its...
Chiun-Chuan Chen, Chang-Shou Lin (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Edward N. Dancer, Shusen Yan (2007)
Bollettino dell'Unione Matematica Italiana
Similarity:
We show how a change of variable and peak solution methods can be used to prove that a number of nonlinear elliptic partial differential equations have many solutions.
David Arcoya, Sergio Segura de León (2010)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
We study a comparison principle and uniqueness of positive solutions for the homogeneous Dirichlet boundary value problem associated to quasi-linear elliptic equations with lower order terms. A model example is given by The main feature of these equations consists in having a quadratic gradient term in which singularities are allowed. The arguments employed here also work to deal with equations having lack of ellipticity...
Nicolai V. Krylov (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity: