Multiple solutions for asymptotically q‐linear (p, q)‐Laplacian problems

We investigate the existence and the multiplicity of solutions of the problem −Δpu−Δqu=g(x,u)inΩ,u=0on∂Ω, where Ω is a smooth, bounded domain of ℝN, 1 

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2022-09, Vol.45 (14), p.8655-8673
Main Author: Colasuonno, Francesca
Format: Article
Language:English
Subjects:
(p, q)‐Laplacian problems
asymptotically q‐linear problems
Critical point
Minimax technique
multiplicity of solutions
Nonlinearity
resonant problems
Variational methods
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Summary:We investigate the existence and the multiplicity of solutions of the problem −Δpu−Δqu=g(x,u)inΩ,u=0on∂Ω, where Ω is a smooth, bounded domain of ℝN, 1 
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7472