ESAIM Control Optimisation and Calculus of Variations · 2008 · 44 citations · 16 references
Natural SciencesMathematicsDifferential EquationsBoundary ConditionsBoundary-value ProblemsExistence TheoryInitial Value ProblemsPartial Differential EquationsWeak FormulationBoundary ProblemDirichlet Boundary ConditionsDirichlet ProblemsElliptic Boundary-value ProblemsElliptic Partial Differential EquationsUniqueness In Elliptic EquationsUniqueness Of SolutionsUniqueness Theorems For Partial Differential Equations
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
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Remarks on sublinear elliptic equations
Haïm Brézis, Luc Oswald · Nonlinear Analysis · 1986 · 506 citations