International Journal of Mathematics and Mathematical Sciences · 2008 · 13 citations · 11 references
Natural SciencesMechanical EngineeringFinite Element AnalysisBoundary ConditionsBoundary-value ProblemsOperator TheoryPartial Differential EquationsA Priori EstimatesElliptic Partial Differential EquationsRegularity TheorySobolev SpacesUniqueness In Elliptic EquationsUniqueness TheoremsWeak Boundary ConditionsWeak Form Of Partial Differential Equations
We study in this paper a class of second‐order linear elliptic equations in weighted Sobolev spaces on unbounded domains of ℝ n , n ≥ 3. We obtain an a priori bound, and a regularity result from which we deduce a uniqueness theorem.
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