Cone Sobolev inequality and Dirichlet problem for nonlinear elliptic equations on a manifold with conical singularities

By Hua Chen, Xiaochun Liu, Yawei Wei. 2012

70 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/3dd47b1e0a3090b20c7eeb1b175a3bcb84c7254b

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In Applied Mathematics

1. Hua Chen
2. Xiaochun Liu
3. Yawei Wei

In Computational Theory and Mathematics

1. Hua Chen
2. Xiaochun Liu
3. Yawei Wei

Citations in the corpus

• Existence theorem for a class of semilinear totally characteristic elliptic equations with critical cone Sobolev exponents (2011, background): “Recently, the authors established the so-called cone Sobolev inequality (see Proposition 3.1) and Poincare inequality (see Proposition 3.2) for the weighted Sobolev spaces (2.6 )( see [ 3 ]) for details).”