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Sự tồn tại của vô số nghiệm cho phương trình (p, q)-Laplace
Tóm tắt
Trong bài báo này, chúng tôi nghiên cứu phương trình (p, q)-Laplace trong một miền hữu hạn dưới điều kiện biên Dirichlet. Chúng tôi đưa ra một điều kiện đủ cho hạng tử phi tuyến để tồn tại một dãy nghiệm hội tụ về không hoặc đi đến vô cùng. Hơn nữa, chúng tôi cung cấp các ước lượng trước cho các norm C
1 của các nghiệm dưới một điều kiện thích hợp đối với hạng tử phi tuyến.
Từ khóa
#(p #q)-Laplace; nghiệm; điều kiện biên Dirichlet; hạng tử phi tuyến; ước lượng trước.Tài liệu tham khảo
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