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Multiplicity results for some quasilinear elliptic problems with concave nonlinearities

  • Ruichang Pei

摘要

The purpose of this paper is to investigate the existence of five nontrivial solutions and the existence of infinitely many nontrivial solutions for a class of (p, 2)-Laplacian equations with subcritical polynomial growth and subcritical (critical) exponential growth. Some existence results for nontrivial solutions are established by using the variational methods.