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Sun, Yuhua: Volume growth and uniqueness of nonnegative solutions of differential inequalities on manifolds. 2014
Inhalt
Preface
1 Introduction
1.1 Differential Inequalities in Rn
1.2 Volume Growth of Riemannian manifolds
1.3 Structure
1.4 Notations
2 Special Semilinear Inequalities
2.1 Background and Statement
2.2 Proof of Theorem 2.1.3
2.3 Sharpness of p, q
3 Semilinear Differential Inequalities
3.1 Background and Statement
3.2 First Proof of Theorem 3.1.1
3.3 Second Proof of Theorem 3.1.1
3.4 Sharpness of p, q
4 Quasilinear and Mean Curvature Type Inequalities
4.1 Background and Statement
4.2 Proof of Theorem 4.1.3
4.3 Proof of Theorem 4.1.4
4.4 Sharpness of p, q
5 Differential Inequalities with Gradient Terms
5.1 Background and Statement
5.2 Proof of Theorem 5.1.1
5.3 Applications
5.4 Sharpness of p, q
6 Opposite Quasilinear Inequalities
6.1 Background and Statement
6.2 Proof of Theorem 6.1.4
6.3 Model Manifolds
Bibliography