Existence theorem for a class of semilinear totally characteristic elliptic equations with critical cone Sobolev exponents

By Hua Chen, Xiaochun Liu, Yawei Wei. 2011

58 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/b0cb6d69e9e33e7aa96feb72078a97214dbeebad

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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

• Cone Sobolev inequality and Dirichlet problem for nonlinear elliptic equations on a manifold with conical singularities (2012, methodology): “In a forthcoming paper [3], we will apply our cone Sobolev inequality and Poincaré inequality to prove the existence of solutions for Dirichlet problem of nonlinear elliptic equations, defined on the conical manifold, with critical Sobolev exponent p = n+2 n−2 .”