In this paper, we deal with the existence of at least two non-negative non-trivial solutions to a p(z)−laplacian system involving critical non-linearity in the context of Sobolev spaces with variable exponents on complete manifolds. We have established our main results by exploring both Nehari’s method and doing a refined analysis on the fiber map associated and some variational techniques. Mathematics Subject Classification (2010). Primary 35J
On p(z)-laplacian system involving critical non-linearities
Maria Alessandra Ragusa
2022-01-01
Abstract
In this paper, we deal with the existence of at least two non-negative non-trivial solutions to a p(z)−laplacian system involving critical non-linearity in the context of Sobolev spaces with variable exponents on complete manifolds. We have established our main results by exploring both Nehari’s method and doing a refined analysis on the fiber map associated and some variational techniques. Mathematics Subject Classification (2010). Primary 35JFile in questo prodotto:
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