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- W2953161828 abstract "This paper deals with multiplicity and bifurcation results for nonlinear problems driven by the fractional Laplace operator $(-Delta)^s$ and involving a critical Sobolev term. In particular, we consider $$begin{cases} (-Delta)^su=gamma|u|^{2^*-2}u+f(x,u) & mbox{in } Omega u=0 & mbox{in } mathbb R^nsetminus Omega, end{cases}$$ where $Omegasubsetmathbb R^n$ is an open bounded set with continuous boundary, $n>2s$ with $sin(0,1)$, $gamma$ is a positive real parameter, $2^*=2n/(n-2s)$ is the fractional critical Sobolev exponent and $f$ is a Caratheodory function satisfying different subcritical conditions." @default.
- W2953161828 created "2019-06-27" @default.
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- W2953161828 date "2016-07-15" @default.
- W2953161828 modified "2023-10-01" @default.
- W2953161828 title "Multiplicity results for fractional Laplace problems with critical growth" @default.
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