. . "23520" . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "Neuveden" . . . "In previous work by Castro, Cossio and Neuberger [2], it was shown that a superliner Dirichlet problem has at least three nontrivial solutions when the derivative of the nonlinearity at zero is less than the first eigenvalue of $-\\Delta$ with zero Diric hlet boundary condition. One of these solutions changes sign exactly-once and the other two are of one sign. In this paper we show that when this derivative is between the k-th and k+1-st eigenvalues there still exists a solution which changes sign at m ost k times. In particular when k=1 the sign-changing exactly-once soution persists although one-sign solutions no longer exist." . . "1072-6691" . . "Dr\u00E1bek, Pavel" . . "In previous work by Castro, Cossio and Neuberger [2], it was shown that a superliner Dirichlet problem has at least three nontrivial solutions when the derivative of the nonlinearity at zero is less than the first eigenvalue of $-\\Delta$ with zero Diric hlet boundary condition. One of these solutions changes sign exactly-once and the other two are of one sign. In this paper we show that when this derivative is between the k-th and k+1-st eigenvalues there still exists a solution which changes sign at m ost k times. In particular when k=1 the sign-changing exactly-once soution persists although one-sign solutions no longer exist."@en . "A sign-changing solution for a superlinear Dirichlet problem, II" . . "A sign-changing solution for a superlinear Dirichlet problem, II" . "597139" . "Castro, Alfonso" . "Dirichlet problem;superlinear;subcritical;sign-changing solution;deformation lemma"@en . "A sign-changing solution for a superlinear Dirichlet problem, II"@en . . . "[FD62791B4A28]" . . . . "101-107" . "3"^^ . "Electronic Journal of Differential Equations" . "0"^^ . "RIV/49777513:23520/03:00000240!RIV/2004/MSM/235204/N" . "0" . "Z(MSM 235200001)" . "0"^^ . . "RIV/49777513:23520/03:00000240" . "1"^^ . . . "7"^^ . "A sign-changing solution for a superlinear Dirichlet problem, II"@en .