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 and bi...

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Bibliografiske detaljer
Hovedforfatter: Federica Sani
Format: Online
Sprog:engelsk
Udgivet: Ledizioni 2021
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Online adgang:15503
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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