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D. Bouafia, T. Moussaoui, D. O’Regan (2016)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper we study the existence of nontrivial solutions for a nonlinear boundary value problem posed on the half-line. Our approach is based on Ekeland’s variational principle.
Yao, Li, Chang, Jin-Rong (2008)
The Journal of Nonlinear Sciences and its Applications
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Zhang, Weimin (2009)
Mathematical Problems in Engineering
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Kumar, Arun (2005)
International Journal of Mathematics and Mathematical Sciences
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Dahmane Bouafia, Toufik Moussaoui, Donal O'Regan (2020)
Mathematica Bohemica
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We discuss the existence and multiplicity of positive solutions for a class of second order quasilinear equations. To obtain our results we will use the Ekeland variational principle and the Mountain Pass Theorem.
Lavrent'ev, I.M., Sćepanović, R. (1984)
Publications de l'Institut Mathématique. Nouvelle Série
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Liu, Zeqing, Sun, Juhe, Shim, Soo Hak, Kang, Shin Min (2005)
International Journal of Mathematics and Mathematical Sciences
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Liu, Zeqing, Sun, Juhe, Shim, Soo Hak, Kang, Shin Min (2005)
International Journal of Mathematics and Mathematical Sciences
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Liu, Zeqing, Gao, Haiyan, Kang, Shin Min, Shim, Soo Hak (2006)
International Journal of Mathematics and Mathematical Sciences
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Massimiliano Berti, Luca Biasco (2005)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Existence and regularity of periodic solutions of nonlinear, completely resonant, forced wave equations is proved for a large class of non-monotone forcing terms. Our approach is based on a variational Lyapunov-Schmidt reduction. The corresponding infinite dimensional bifurcation equation exhibits an intrinsic lack of compactness. This difficulty is overcome finding a-priori estimates for the constrained minimizers of the reduced action functional, through techniques inspired by regularity...
Noor, Muhammed Aslam (1991)
International Journal of Mathematics and Mathematical Sciences
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Śladkowska, Janina (2015-11-13T13:54:55Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Shapour Heidarkhani (2013)
Annales Polonici Mathematici
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Using Ricceri's variational principle, we establish the existence of infinitely many solutions for a class of two-point boundary value Kirchhoff-type systems.
Yuhua Long, Yuanbiao Zhang, Haiping Shi (2016)
Open Mathematics
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By using the critical point method, some new criteria are obtained for the existence and multiplicity of homoclinic solutions to a 2nth-order nonlinear difference equation. The proof is based on the Mountain Pass Lemma in combination with periodic approximations. Our results extend and improve some known ones.