Existence and multiplicity of solutions to semilinear elliptic equation with nonlinear term of superlinear and subcritical growth
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Date
2018-04-10
Authors
Ke, Xiao-Feng
Tang, Chun-Lei
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Semilinear elliptic equation, New superlinear conditionl, General subcritical condition
Citation
Ke, X. F., & Tang, C. L. (2018). Existence and multiplicity of solutions to semilinear elliptic equation with nonlinear term of superlinear and subcritical growth. <i>Electronic Journal of Differential Equations, 2018</i>(88), pp. 1-17.
Rights
Attribution 4.0 International