Positive solutions for nonparametric anisotropic singular solutions
Nikolaos S. Papageorgiou, Vicen�iu D. R�dulescu, Xueying Sun
Abstract
We consider an elliptic equation driven by a nonlinear, nonhomogeneous differential operator with nonstandard growth. The reaction has the combined effects of a singular term and of a "superlinear" perturbation. There is no parameter in the problem. Using variational tools and truncation and comparison techniques, we show the existence of at least two positive smooth solutions.
Topics & Concepts
MathematicsNonparametric statisticsAnisotropyMathematical analysisApplied mathematicsSingular solutionPure mathematicsCombinatoricsStatisticsQuantum mechanicsPhysicsNonlinear Differential Equations AnalysisNonlinear Partial Differential EquationsContact Mechanics and Variational Inequalities