Dimitrios A. Kandilakis, Manolis Magiropoulos (2006)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We provide an existence result for a system of quasilinear equations subject to nonlinear boundary conditions on a bounded domain by using the fibering method.
Yuji Liu (2011)
Applicationes Mathematicae
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A class of nonlinear boundary value problems for p-Laplacian differential equations is studied. Sufficient conditions for the existence of solutions are established. The nonlinearities are allowed to be superlinear. We do not apply the Green's functions of the relevant problem and the methods of obtaining a priori bounds for solutions are different from known ones. Examples that cannot be covered by known results are given to illustrate our theorems.
N.S. Papageorgiou, E.M. Rocha (2009)
RACSAM
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D. R. Dunninger, Haiyan Wang (1998)
Annales Polonici Mathematici
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We study the existence and multiplicity of positive solutions of the nonlinear equation u''(x) + λh(x)f(u(x)) = 0 subject to nonlinear boundary conditions. The method of upper and lower solutions and degree theory arguments are used.
Henderson, J., Ntouyas, S.K. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Amann, Herbert
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Dumitru Motreanu (1997)
Mathematica Slovaca
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Castro, Alfonso (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Xing Zhang, Xia Zhang, Yongqiang Fu (2010)
Annales Polonici Mathematici
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We study the multiplicity of solutions for a class of p(x)-Laplacian equations involving the critical exponent. Under suitable assumptions, we obtain a sequence of radially symmetric solutions associated with a sequence of positive energies going toward infinity.
Martínez, Sandra, Rossi, Julio D. (2002)
Abstract and Applied Analysis
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Ahmad, Bashir, Alsaedi, Ahmed (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Bogdan Przeradzki (1996)
Annales Polonici Mathematici
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The existence of at least two solutions for nonlinear equations close to semilinear equations at resonance is obtained by the degree theory methods. The same equations have no solutions if one slightly changes the right-hand side. The abstract result is applied to boundary value problems with specific nonlinearities.
Nikolaos S. Papageorgiou, George Smyrlis
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We conduct a detailed study of the existence theory for nonlinear hemivariational inequalities of second order. The problems under consideration are strongly nonlinear and not necessarily of variational nature. So we employ a variety of tools in order to solve them. More precisely, we use the general theory of nonlinear operators of monotone type, the method of upper-lower solutions, the multivalued Leray-Schauder principle, nonsmooth critical point theory coupled with Landesman-Lazer...
Lamberto Cesari (1984)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We continue here the discussion in part I, and we state and prove further sufficient conditions for the existence of a solution to nonselfadjoint problems.
Lamberto Cesari (1984)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We continue here the discussion in part I, and we state and prove further sufficient conditions for the existence of a solution to nonselfadjoint problems.