Existence and multiplicity of solutions to semilinear elliptic equation with nonlinear term of superlinear and subcritical growth

Autor: Xiao-Feng Ke, Chun-Lei Tang
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2018, Iss 88,, Pp 1-17 (2018)
Druh dokumentu: article
ISSN: 1072-6691
Popis: This article concerns the existence and multiplicity of solutions to the superlinear elliptic problems. We introduce a new superlinear condition which is proved to be weaker than the Ambrosetti-Rabinowitz condition, the nonquadratic condition, the monotonicity conditions. As an application, positive solution and infinitely many solutions to semilinear elliptic equation with general subcritical growth are obtained, which generalize some known results.
Databáze: Directory of Open Access Journals