An infinity of nodal solutions for sup erlinear Robin problems with an indefinite and unbounded potential

作者：Papageorgiou Nikolaos S; Radulescu Vicentiu D^*

来源：Bulletin des Sciences Mathematiques, 2017, 141(4): 251-266.

DOI：10.1016/j.bulsci.2017.03.001

• Nodal solutions
• Symmetric mountain pass theorem
• C-condition
• Regularity theory

We consider a semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential using a suitable version of the symmetric mountain pass theorem, we show that the problem has an infinity of nodal solutions whose energy level diverges to +infinity.

• 出版日期2017-6