Browsing Pure & Applied Mathematics by Author "KARAGEORGIS, PASCHALIS"

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    • Existence of ground states for fourth-order wave equations 

      KARAGEORGIS, PASCHALIS (Elsevier, 2010)
      Focusing on the fourth-order wave equation utt+?2u+f(u)=0, we prove the existence of ground state solutions u=u(x+ct) for an optimal range of speeds and a variety of nonlinearities f.

    • Supercritical biharmonic equations with power-type nonlinearity 

      KARAGEORGIS, PASCHALIS (2009)
      We study two different versions of a supercritical biharmonic equation with a power-type nonlinearity. First, we focus on the equation Delta(2)u = vertical bar u vertical bar(p-1)u over the whole space R(n), where n > 4 ...