Schrödinger-Poisson equations with supercritical growth.
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Alves, Claudianor O., Soares, Sérgio H.M., Souto, Marco A.S. (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Aleksandra Orpel (2006)
Applicationes Mathematicae
We investigate the existence of positive solutions and their continuous dependence on functional parameters for a semilinear Dirichlet problem. We discuss the case when the domain is unbounded and the nonlinearity is smooth and convex on a certain interval only.
Jacques Giacomoni, Ian Schindler, Peter Takáč (2007)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
We investigate the following quasilinear and singular problem,where is an open bounded domain with smooth boundary, , , , and . As usual, if , is arbitrarily large if , and if . We employ variational methods in order to show the existence of at least two distinct (positive) solutions of problem (P) in . While following an approach due to Ambrosetti-Brezis-Cerami, we need to prove two new results of separate interest: a strong comparison principle and a regularity result for solutions...
Lin Wei, Zuodong Yang (2010)
Annales Polonici Mathematici
We study the existence of positive solutions to ⎧ on Ω, ⎨ ⎩ u = 0 on ∂Ω, where Ω is or an unbounded domain, q(x) is locally Hölder continuous on Ω and p > 1, γ > -(p-1).
Algirdas Ambrazevičius (2010)
Open Mathematics
A model of coupled parabolic and ordinary differential equations for a heterogeneous catalytic reaction is considered and the existence and uniqueness theorem of the classic solution is proved.
Algirdas Ambrazevičius, Alicija Eismontaitė (2013)
Open Mathematics
A mathematical model of dissociative adsorption and associative desorption for diatomic molecules is generalized. The model is described by a coupled system of parabolic and ordinary differential equations. The existence and uniqueness theorem of the classical solution is proved.
Isabelle Moutoussamy, Laurent Veron (1989)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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