Amann-Zehnder type results for p-Laplace problems

作者：Cingolani Silvia; Degiovanni Marco^*; Vannella Giuseppina

来源：Annali di Matematica Pura ed Applicata, 2018, 197(2): 605-640.

DOI：10.1007/s10231-017-0694-8

• p-Laplace operator
• p-area functional
• Nontrivial solutions
• Morse theory
• Critical groups
• Functionals with lack of smoothness

The existence of a nontrivial solution is proved for a class of quasilinear elliptic equations involving, as principal part, either the p-Laplace operator or the operator related to the p-area functional, and a nonlinearity with p-linear growth at infinity. To this aim, Morse theory techniques are combined with critical groups estimates.

• 出版日期2018-4