Existence and multiplicity of solutions to the Navier boundary value problem for a class of (p(x), q(x))-biharmonic systems
DOI:
https://doi.org/10.24193/subbmath.2020.2.05Keywords:
Fourth-order, variable exponent, Palais Smale condition, mountain pass theorem.Abstract
In this article, we study the following problem with Navier boundary conditions. ∆(a(x, ∆u)) = Fu(x, u, v), in Ω ∆(a(x, ∆v)) = Fv (x, u, v), in Ω, u = v = ∆u = ∆v = 0 on ∂Ω. By using the Mountain Pass Theorem and the Fountain Theorem, we establish the existence of weak solutions of this problem.
Mathematics Subject Classification (2010): 35J30, 35J60, 35J92.
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