caa a22 4500 386382778 CHVBK 20180307112048.0 cr unu---uuuuu 161130s1989 xx s 000 0 eng 10.1017/S0308210500024082 doi S0308210500024082 pii (NATIONALLICENCE)cambridge-10.1017/S0308210500024082 Bifurcation for quasilinear elliptic equations on Rn with natural growth conditions [Elektronische Daten] 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}. Copyright © Royal Society of Edinburgh 1989 Daomin Cao Wuhan Institute of Mathematical Sciences, Academia Sinica, P.O. Box 30, Wuhan 430071, P. R. China Gongbao Li Wuhan Institute of Mathematical Sciences, Academia Sinica, P.O. Box 30, Wuhan 430071, P. R. China Shusen Yan Wuhan Institute of Mathematical Sciences, Academia Sinica, P.O. Box 30, Wuhan 430071, P. R. China Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 113/3-4(1989), 215-228 0308-2105 113:3-4<215 1989 113 PRM https://doi.org/10.1017/S0308210500024082 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0308210500024082 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Daomin Cao Wuhan Institute of Mathematical Sciences, Academia Sinica, P.O. Box 30, Wuhan 430071, P. R. China NATIONALLICENCE 700 1- Gongbao Li Wuhan Institute of Mathematical Sciences, Academia Sinica, P.O. Box 30, Wuhan 430071, P. R. China NATIONALLICENCE 700 1- Shusen Yan Wuhan Institute of Mathematical Sciences, Academia Sinica, P.O. Box 30, Wuhan 430071, P. R. China NATIONALLICENCE 773 0- Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 113/3-4(1989), 215-228 0308-2105 113:3-4<215 1989 113 PRM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge