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

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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.

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English

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9788867050666

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NONE

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Subject(s)

Mathematics

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Kurnadi

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