MULTIPLE SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS WITH SIGN-CHANGING POTENTIAL AND NONLINEARITY

作者：Qin, Dongdong^*; Tang, Xianhua; Zhang, Jiang

来源：Electronic Journal of Differential Equations, 2013, 207.

• Semilinear elliptic equation
• super-quadratic
• sign-changing potential

In this article, we study the multiplicity of solutions for the semilinear elliptic equation
-Delta u + a(x)u - f(x, u), x is an element of Omega,
u = 0, x is an element of partial derivative Omega,
where Omega subset of R-N (N >= 3), the potential a(x) satis fi es suitable integrability conditions, and the primitive of the nonlinearity f is of super-quadratic growth near in fi nity and is allowed to change sign. Our super-quadratic conditions are weaker the usual super-quadratic conditions.

• 出版日期2013-9-18
• 单位中南大学