Symmetry breaking and existence of many positive nonsymmetric solutions for semi-linear elliptic equations on finite cylindrical domains

Existence of positive solutions for some

Existence of positive solutions for some nonlinear elliptic equations on unbounded domains with cylindrical ends

✍ Kazuhiro Kurata; Masataka Shibata; Kazuo Tada 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 206 KB

In this paper, we study the existence of positive solutions to nonlinear elliptic boundary value problems on unbounded domains ! ⊂ R n with cylindrical ends for a general nonlinear term f(u) including f(u) = u p + ; 1 ¡ p ¡ (n + 2)=(n -2)(n ¿ 3); + ∞ (n = 2) as a typical example: by using the mount