Multiplicity of multi-bump type nodal solutions for a class of elliptic problems with exponential critical growth in ℝ²

2014/12/13 by Alves, Claudianor O., Pereira, Denilson S.
#35A15 #35J1 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1412.4219

Abstract

In this paper, we establish the existence and multiplicity of multi-bump nodal solutions for the following class of problems -Δu+(λV(x)+1)u=f(u),~~in~~ℝ², where λ∈(0,∞), f is a continuous function with exponential critical growth and V:ℝ²→ ℝ is a continuous function verifying some hypotheses.

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