کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8899122 | 1631509 | 2018 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
New Harnack inequalities and existence theorems for radially symmetric solutions of elliptic PDEs with sign changing or vanishing Green's function
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We consider the perturbed Hammerstein integral equationy(t)=γ1(t)H1(Ï1(y))+γ2(t)H2(Ï2(y))+λâ«01G(t,s)f(s,y(s))ds, where Ï1 and Ï2 are linear functionals realized as Stieltjes integrals with associated signed Stieltjes measures. We demonstrate that by utilizing a nonstandard order cone together with an associated nonstandard open set, existence of a positive solution to the integral equation can be guaranteed under relatively mild hypotheses on the various constituent functions and functionals in the case in which the Green's function (t,s)â¦G(t,s) is allowed to both vanish and change sign. As an example we apply our results to radially symmetric elliptic PDEs of the formâÎu=λh(|x|)g(u(x)), |x|â[R1,R2]ââru(x)|xââBR2=0(u(R1x)+u(Rηx))|xââB1=H(Ï(u)), where 0
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 264, Issue 1, 5 January 2018, Pages 236-262
Journal: Journal of Differential Equations - Volume 264, Issue 1, 5 January 2018, Pages 236-262
نویسندگان
Christopher S. Goodrich,