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Exponential-Type Inequalities in Rn and Applications to Elliptic and Biharmonic Equations
Federica Sani
2013
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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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