Kết quả đa hình cho phương trình loại (p, q)-Schrödinger–Kirchhoff

Springer Science and Business Media LLC - Tập 201 - Trang 943-984 - 2021
Vincenzo Ambrosio1, Teresa Isernia1
1Dipartimento di Ingegneria industriale e Scienze Matematiche, Università Politecnica delle Marche, Ancona, Italy

Tóm tắt

Trong bài báo này, chúng tôi nghiên cứu một lớp phương trình loại (p, q)-Schrödinger–Kirchhoff có liên quan đến một tiềm năng dương liên tục thỏa mãn các điều kiện kiểu del Pino–Felmer và một phi tuyến liên tục có độ tăng trưởng dưới phê phán tại vô cực. Bằng cách áp dụng các phương pháp biến hình, kỹ thuật phạt và lý thuyết thể loại Lusternik–Schnirelman, chúng tôi liên kết số lượng các nghiệm dương với hình thù của tập hợp nơi tiềm năng đạt giá trị tối thiểu.

Từ khóa

#Schrödinger–Kirchhoff #phương trình phi tuyến #nghiệm dương #lý thuyết thể loại #tăng trưởng dưới phê phán.

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