Tiantian Qiao, Weiguo Li, Kai Liu, Boying Wu (2014)
Annales Polonici Mathematici
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The Dirichlet boundary value problem for systems of elliptic partial differential equations at resonance is studied. The existence of a unique generalized solution is proved using a new min-max principle and a global inversion theorem.
Caso, Loredana (2006)
Boundary Value Problems [electronic only]
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Wei, Lin, Yang, Zuodong (2010)
International Journal of Differential Equations
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Wen, Guochun, Xu, Zuoliang, Yang, Fengmin (2009)
Boundary Value Problems [electronic only]
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Aleksandra Orpel (2006)
Applicationes Mathematicae
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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.
Mario Zuluaga Uribe (2001)
Archivum Mathematicum
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In this paper we consider the existence of nonzero solutions of an undecoupling elliptic system with zero Dirichlet condition. We use Leray-Schauder Degree Theory and arguments of Measure Theory. We will show the existence of positive solutions and we give applications to biharmonic equations and the scalar case.
Z.Q. Chen, R.J. Williams, Z. Zhao (1994)
Mathematische Annalen
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Chi-ping Lau (1985)
Manuscripta mathematica
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Zhang, Peng, Liao, Jia-Feng (2010)
Abstract and Applied Analysis
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