On bounded domains $\Omega \subset {\Bbb R}^{2}$ we consider the anisotropic problems u-auxx + u-buyy = p(x, y) in Ω with a, b > 1 and u = ∞ on ∂ Ω and ucuxx + uduyy + q(x, y) = 0 in Ω with c, d ≥ 0 ...

The steady-state electrical heating of a solid conductor is studied with mixed boundary conditions. A theorem of existence, nonexistence, and uniqueness of solutions is given under general assumptions ...

Fourth-order boundary value problems (BVPs) constitute an essential class of differential equations where the highest derivative is of fourth order. These equations arise naturally in the mathematical ...