![Operator theory / Multivariable calculus / Sobolev spaces / Fourier analysis / Harmonic functions / Laplace operator / Hilbert space / Sobolev inequality / Differential operator / Mathematical analysis / Calculus / Mathematics Operator theory / Multivariable calculus / Sobolev spaces / Fourier analysis / Harmonic functions / Laplace operator / Hilbert space / Sobolev inequality / Differential operator / Mathematical analysis / Calculus / Mathematics](https://www.pdfsearch.io/img/faf4487015ffa7b3548e1ab2b7dc0e22.jpg) Date: 2014-08-14 13:36:05Operator theory Multivariable calculus Sobolev spaces Fourier analysis Harmonic functions Laplace operator Hilbert space Sobolev inequality Differential operator Mathematical analysis Calculus Mathematics | | NONEXISTENCE RESULTS FOR NONLOCAL EQUATIONS WITH CRITICAL AND SUPERCRITICAL NONLINEARITIES XAVIER ROS-OTON AND JOAQUIM SERRA Abstract. We prove nonexistence of nontrivial bounded solutions to some nonlinear problems invo
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