A Class of Nonlinear Elliptic Problems*
نویسنده
چکیده
We obtain a strict coercivity estimate, (generalizing that of T. I. Seidman [J. Differential Equations 19 (1975), 242-2571 in considering spatial variation) for second order elliptic operators A: UH -V. y(.. Vu) with y “radial in the gradient”--y(., t)=a(., l[])i; for 5~ Iw”. The estimate is then applied to obtain existence of solutions of boundary value problems: -V t?(,, u, lVu[ ) Vu = f (., u, Vu) with Dirichlet conditions. CJ 1985 Academic Press. Inc.
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