Bifurcation for quasilinear elliptic equations on Rn with natural growth conditions
Cao Daomin, Gongbao Li, Yan Shusen · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1989
Synopsis We consider the following eigenvalue problem: We prove the existence of H1(Rn)∩L∞(Rn) bifurcation at λ=0 but only require aij(x, t) (i,j= 1, 2, …,n) and f(x, t) to satisfy certain conditions in theneighbourhood of Rn × {0}.