Zeitschrift für Analysis und ihre Anwendungen, 2002
We apply a fixed point theorem for increasing operators in ordered Banach spaces to prove the exi... more We apply a fixed point theorem for increasing operators in ordered Banach spaces to prove the existence of extremal (i.e. maximal or minimal) solutions for the variational inequality Av, w − v ≥ Ω f (x, v)(w − v) dx where A is the p-Laplacian and f (x, u) = F (x, u, u) with F (x, u, v) being a function, non-decreasing in u and non-increasing in v.
We consider the divergence structure quasilinear equation −div⃗ a(∇u) = f (x, u, ∇u), which is no... more We consider the divergence structure quasilinear equation −div⃗ a(∇u) = f (x, u, ∇u), which is not a variational equation. By applying the method of Galerkin approximation, we give some special solutions of the above equation.
Page 1. Tạp chí Nghiên cứu Khoa học 2006:5 1-7 Trường Đại học Cần Thơ CHỌN ĐỀ TÀI NGHIÊN CỨU KHOA... more Page 1. Tạp chí Nghiên cứu Khoa học 2006:5 1-7 Trường Đại học Cần Thơ CHỌN ĐỀ TÀI NGHIÊN CỨU KHOA HỌC XÃ HỘI Trần Thanh Ái1 ABSTRACT The first challenge students in social sciences face in writing BA. or MA. Theses is selecting research topics. ...
Zeitschrift für Analysis und ihre Anwendungen, 2002
We apply a fixed point theorem for increasing operators in ordered Banach spaces to prove the exi... more We apply a fixed point theorem for increasing operators in ordered Banach spaces to prove the existence of extremal (i.e. maximal or minimal) solutions for the variational inequality Av, w − v ≥ Ω f (x, v)(w − v) dx where A is the p-Laplacian and f (x, u) = F (x, u, u) with F (x, u, v) being a function, non-decreasing in u and non-increasing in v.
We consider the divergence structure quasilinear equation −div⃗ a(∇u) = f (x, u, ∇u), which is no... more We consider the divergence structure quasilinear equation −div⃗ a(∇u) = f (x, u, ∇u), which is not a variational equation. By applying the method of Galerkin approximation, we give some special solutions of the above equation.
Page 1. Tạp chí Nghiên cứu Khoa học 2006:5 1-7 Trường Đại học Cần Thơ CHỌN ĐỀ TÀI NGHIÊN CỨU KHOA... more Page 1. Tạp chí Nghiên cứu Khoa học 2006:5 1-7 Trường Đại học Cần Thơ CHỌN ĐỀ TÀI NGHIÊN CỨU KHOA HỌC XÃ HỘI Trần Thanh Ái1 ABSTRACT The first challenge students in social sciences face in writing BA. or MA. Theses is selecting research topics. ...
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