MULTIPLICITY OF MULTI-BUMP TYPE NODAL SOLUTIONS FOR A CLASS OF ELLIPTIC PROBLEMS WITH EXPONENTIAL CRITICAL GROWTH IN R-2

作者：Alves Claudianor O; Pereira Denilson S

来源：Proceedings of the Edinburgh Mathematical Society, 2017, 60(2): 273-297.

DOI：10.1017/S0013091516000158

• variational methods
• exponential critical growth
• nodal solution

In this paper we establish the existence and multiplicity of multi-bump nodal solutions for the class of problems
-Delta u + (lambda V(x) + 1)u = f (u) in R-2,
where lambda is an element of (0, infinity), f is a continuous function with exponential critical growth and V: R-2 -> R is a continuous function verifying some hypotheses.

• 出版日期2017-5