Positive and dead-core solutions of two-point singular boundary value problems with -Laplacian.
Staněk, Svatoslav (2010)
Advances in Difference Equations [electronic only]
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Staněk, Svatoslav (2010)
Advances in Difference Equations [electronic only]
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Agarwal, Ravi P., O'Regan, Donal, Staněk, Svatoslav (2007)
Boundary Value Problems [electronic only]
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Ravi Agarwal, Donal O’Regan, Svatoslav Staněk (2009)
Open Mathematics
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The paper is concerned with existence results for positive solutions and maximal positive solutions of singular mixed boundary value problems. Nonlinearities h(t;x;y) in differential equations admit a time singularity at t=0 and/or at t=T and a strong singularity at x=0.
Amassad, Amina, Fabre, Caroline (2002)
International Journal of Mathematics and Mathematical Sciences
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Sun, Yigang (2008)
Boundary Value Problems [electronic only]
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Castro T., Rafael A. (2008)
Revista Colombiana de Matemáticas
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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.