elliptic equations with one-sided critical growth

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ID: 206189
2002
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Abstract
We consider elliptic equations in bounded domains $Omegasubset mathbb{R}^N $ with nonlinearities which have critical growth at $+infty$ and linear growth $lambda$ at $-infty$, with $lambda > lambda_1$, the first eigenvalue of the Laplacian. We prove that such equations have at least two solutions for certain forcing terms provided $N ge 6$. In dimensions $N = 3,4,5$ an additional lower order growth term has to be added to the nonlinearity, similarly as in the famous result of Brezis-Nirenberg for equations with critical growth. Submitted March 01, 2002. Published October 18, 2002. Math Subject Classifications: 35J20. Key Words: Nonlinear elliptic equation; critical growth; linking structure.
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calanchi2002electronicelliptic Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Marta Calanchi;Bernhard Ruf
Journal icsoft 2006 - 1st international conference on software and data technologies, proceedings
Year 2002
DOI
DOI not found
URL
http://ejde.math.txstate.edu/Volumes/2002/89/abstr.html
Keywords
mathematics linking structure

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