caa a22 4500 386382964 CHVBK 20180307112049.0 cr unu---uuuuu 161130s1989 xx s 000 0 eng 10.1017/S0308210500025063 doi S0308210500025063 pii (NATIONALLICENCE)cambridge-10.1017/S0308210500025063 A remark on the nodal regions of the solutions of some superlinear elliptic equations [Elektronische Daten] We study the problem where Ω is a bounded domain in ℝn(N≧3), 2 <p ≦2N/N - 2, λ ∈R. We prove the existence of nontrivial solutions of (*) for which we can estimate the number of nodal regions dependent on the eigenvalues of −Δ less than λ. Copyright © Royal Society of Edinburgh 1989 Benci Vieri Istituto di Matematiche Applicate, Università, 56100 Pisa, Italy Fortunato Donato Dipartimento di Matematica, Università, 70125 Bari, Italy Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 111/1-2(1989), 123-128 0308-2105 111:1-2<123 1989 111 PRM https://doi.org/10.1017/S0308210500025063 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0308210500025063 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Benci Vieri Istituto di Matematiche Applicate, Università, 56100 Pisa, Italy NATIONALLICENCE 700 1- Fortunato Donato Dipartimento di Matematica, Università, 70125 Bari, Italy NATIONALLICENCE 773 0- Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 111/1-2(1989), 123-128 0308-2105 111:1-2<123 1989 111 PRM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge