Exponential-type inqualities in Rn and applications to elliptic and biharmonic equations

• Tác giả: Federica Sani
• Ngôn ngữ: eng
• ISBN-13: 978-8867050666
• Thông tin xuất bản: Milano, Italy : Ledizioni, 2013
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 228272

Tóm tắt

Adams'inequality [2] in its original form is nothing but the Trudinger-Moser inequality for Sobolev spaces involving higher order derivatives. In this Thesis we present Adams-type inequalities for unbounded domains in Rn and some applications to existence and multiplicity results for elliptic and biharmonic problems involving nonlinearities with exponential growth