An approximate method for determination of eigenvalues and eigenvectors of self-adjoint operators
Josef Kolomý (1981)
Časopis pro pěstování matematiky
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Josef Kolomý (1981)
Časopis pro pěstování matematiky
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Elliot Tonkes (1999)
Commentationes Mathematicae Universitatis Carolinae
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The aim of this paper is to study the existence of variational solutions to a nonhomogeneous elliptic equation involving the -Laplacian where , is a bounded smooth domain in , , is a critical nonlinearity in the sense of the Trudinger-Moser inequality and is a small perturbation.
De Nàpoli, Pablo L., Mariani, M.Cristina (2002)
Abstract and Applied Analysis
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Dimitrios A. Kandilakis, Manolis Magiropoulos (2007)
Commentationes Mathematicae Universitatis Carolinae
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We study a nonlinear elliptic system with resonance part and nonlinear boundary conditions on an unbounded domain. Our approach is variational and is based on the well known Landesman-Laser type conditions.