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تسجيل مستخدم جديدBlow-up phenomena for the constant scalar curvature and constant boundary mean curvature equation
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We first present a warped product manifold with boundary to show the non-uniqueness of the positive constant scalar curvature and positive constant boundary mean curvature equation. Next, we construct a smooth counterexample to show that the compactness of the set of lower energy solutions to the above equation fails when the dimension of the manifold is not less than $62$.
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