Multiple solutions for the nonhomogeneous Klein-Gordon equation coupled with Born-Infeld theory on R-3

作者：Chen Shang Jie^*; Li Lin

来源：Journal of Mathematical Analysis and Applications, 2013, 400(2): 517-524.

DOI：10.1016/j.jmaa.2012.10.057

• Klein-Gordon equation
• Born-Infeld theory
• Nonhomogeneous
• Superlinear
• Ekeland's variational principle
• Mountain Pass Theorem
• Variational methods

In this paper we prove the existence of multiple solutions for the following nonhomogeneous Klein-Gordon equation coupled with Born-Infeld theory,
{-Delta u + [m(2) - (omega + phi)(2)]u = vertical bar u vertical bar(q-2)u + h(x), in R-3, Delta phi + beta Delta(4)phi = 4 pi (omega + phi)u(2), in R-3,
when 2 <q < 6.

• 出版日期2013-4-15
• 单位西南大学