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Journal of the London Mathematical Society 1989 s2-40(3):420-440; doi:10.1112/jlms/s2-40.3.420
© 1989 by London Mathematical Society
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© Oxford University Press

Nonlinear Singular Elliptic Equations

Duong Minh Duc

Department of Mathematics, Ho Chi Minh City University Vietnam

We improve the Poincaré inequality, the Sobolev embedding theorem and the Trudinger embedding theorem and prove a mountain-pass theorem. Applying these results we study a nonlinear singular mixed boundary problem.


Present address: Mathematics Section, International Centre for Theoretical Physics, PO Box 586 - Miramare, 34100 Trieste, Italy


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