Hu Xiaona, Yue Xiaorui, Li Shengjun. Ground State Solution of k-coupled Schrödinger System with Critical Exponents[J]. Natural Science of Hainan Unversity, 2018, 36(1): 1-8. DOI: 10.15886/j.cnki.hdxbzkb.2018.0001
Citation:
Hu Xiaona, Yue Xiaorui, Li Shengjun. Ground State Solution of k-coupled Schrödinger System with Critical Exponents[J]. Natural Science of Hainan Unversity, 2018, 36(1): 1-8. DOI: 10.15886/j.cnki.hdxbzkb.2018.0001
Hu Xiaona, Yue Xiaorui, Li Shengjun. Ground State Solution of k-coupled Schrödinger System with Critical Exponents[J]. Natural Science of Hainan Unversity, 2018, 36(1): 1-8. DOI: 10.15886/j.cnki.hdxbzkb.2018.0001
Citation:
Hu Xiaona, Yue Xiaorui, Li Shengjun. Ground State Solution of k-coupled Schrödinger System with Critical Exponents[J]. Natural Science of Hainan Unversity, 2018, 36(1): 1-8. DOI: 10.15886/j.cnki.hdxbzkb.2018.0001
Ground State Solution of k-coupled Schrödinger System with Critical Exponents
In the report, the modified method of Nehari manifold was used to prove the existence of positive least energy solution for the general k-coupled system (P) under appropriate conditions, and the non-existence result of nontrivial solutions was obtained by a priori estimates.