کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4612117 1631514 2011 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Entire solutions of completely coercive quasilinear elliptic equations, II
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Entire solutions of completely coercive quasilinear elliptic equations, II
چکیده انگلیسی

In an earlier paper (Farina and Serrin (2011) [3]) the authors treated a broad class of quasilinear elliptic equations which have the property that any entire solution must necessarily be constant, a property of course not holding for the simple Laplace equation itself. Here we generalize the earlier class of equations to include cases where the “inhomogeneous terms” depend strongly on the gradient of the solution; see for example the model p-Laplace-type equation (2) below, as well as other more general examples discussed later.Theorems 8 and 9 are particularly interesting in that, in contrast to the earlier conclusions, they require only the most minimal coercive behavior of the inhomogeneous terms when the solution variable lies in some arbitrarily large but bounded set; see especially the model example (15) at the end of the introduction.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 250, Issue 12, 15 June 2011, Pages 4409-4436