Exponential-type inqualities in Rn and applications to elliptic and biharmonic equations

Adams'inequality [2] in its original form is nothing but the Trudinger-Moser inequality for Sobolev spaces involving higher order derivatives. In this Thesis we present Adams-type inequalities for unbounded domains in Rn and some applications to existence and multiplicity results for elliptic a...

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Format: eBook
Language:English
Published: Ledizioni 2013
Series:Mathematical Sciences
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Online Access:Open Access: DOAB, download the publication
Open Access: DOAB: description of the publication
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Summary:Adams'inequality [2] in its original form is nothing but the Trudinger-Moser inequality for Sobolev spaces involving higher order derivatives. In this Thesis we present Adams-type inequalities for unbounded domains in Rn and some applications to existence and multiplicity results for elliptic and biharmonic problems involving nonlinearities with exponential growth
Physical Description:1 online resource
ISBN:9788867050666
Access:Open Access