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• W1985566005 abstract "sign-changing solutions to semilinear elliptic problems inconnection with their Morse indices. To this end, we first establisha priori bounds for one-sign solutions. Secondly, usingabstract saddle point principles we find large augmented Morseindex solutions. In this part, extensive use is made of criticalgroups, Morse index arguments, Lyapunov-Schmidt reduction, andLeray-Schauder degree. Finally, we provide conditions under whichthese solutions necessarily change sign and we comment about furtherqualitative properties." @default.
• W1985566005 created "2016-06-24" @default.
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• W1985566005 date "2013-01-01" @default.
• W1985566005 modified "2023-10-05" @default.
• W1985566005 title "Existence and qualitative properties of solutions for nonlinear Dirichlet problems" @default.
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• W1985566005 doi "https://doi.org/10.3934/dcds.2013.33.123" @default.
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