Existence and Uniqueness Theorems for Singular Anisotropic Quasilinear Elliptic Boundary Value Problems
نویسندگان
چکیده
On bounded domains Ω ⊂ R2 we consider the anisotropic problems u−auxx + u−buyy = p(x, y) in Ω with a, b > 1 and u = ∞ on ∂Ω and uuxx+uuyy+q(x, y) = 0 in Ω with c, d ≥ 0 and u = 0 on ∂Ω. Moreover, we generalize these boundary value problems to space-dimensions n > 2. Under geometric conditions on Ω and monotonicity assumption on 0 < p, q ∈ Cα(Ω) we prove existence and uniqueness of positive solutions.
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تاریخ انتشار 2000