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Description
| - 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.
- 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)
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Title
| - A sign-changing solution for a superlinear Dirichlet problem, II
- A sign-changing solution for a superlinear Dirichlet problem, II (en)
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skos:prefLabel
| - A sign-changing solution for a superlinear Dirichlet problem, II
- A sign-changing solution for a superlinear Dirichlet problem, II (en)
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skos:notation
| - RIV/49777513:23520/03:00000240!RIV/2004/MSM/235204/N
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http://linked.open.../vavai/riv/strany
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/49777513:23520/03:00000240
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Dirichlet problem;superlinear;subcritical;sign-changing solution;deformation lemma (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - US - Spojené státy americké
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Electronic Journal of Differential Equations
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...ocetUcastnikuAkce
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http://linked.open...nichUcastnikuAkce
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Drábek, Pavel
- Castro, Alfonso
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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