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Calculus of variations and partial differential equations are classical, very active, closely related areas of mathematics, with important ramifications in differential geometry and mathematical physics. In the last four decades this subject has enjoyed a flourishing development worldwide, which is still continuing and extending to broader perspectives.
Partial DerivativeEnergy FunctionalFree BoundaryInitial DataScalar CurvatureElliptic EquationsMean Curvature FlowPartial RegularityRicci CurvatureCompact Riemannian ManifoldBoundary Value ProblemFractional LaplacianDifferential EquationsEuclidean SpaceSemilinear EllipticExistence and UniquenessSobolev InequalityRiemannian Manifoldthe Existence of SolutionsConcentration-compactness Principle
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