Publicación:
Infinitely many solutions for a nonlocal type problem with sign-changing weight function
Infinitely many solutions for a nonlocal type problem with sign-changing weight function
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Fecha
2021
Autores
Azroul E.
Benkirane A.
Srati M.
Torres C.
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Texas State University - San Marcos
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Abstracto
In this article, we study the existence of weak solutions for a fractional type problem driven by a nonlocal operator of elliptic type (−∆)s a1 u − λa2(
u
)u = f(x, u) + g(x)
u
q(x)−2u in Ω u = 0 in R N \ Ω. Our approach is based on critical point theorems and variational methods.
u
)u = f(x, u) + g(x)
u
q(x)−2u in Ω u = 0 in R N \ Ω. Our approach is based on critical point theorems and variational methods.
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Palabras clave
Variational methods,
Critical point theorems,
Fractional Orlicz-Sobolev spaces