Rigidity results for elliptic PDEs with uniform limits: an abstract framework with applications
Alberto FarinaEnrico Valdinoci
35S0535J6035J61elliptic PDEsfractional or nonlinear operatorssymmetry results
We provide an abstract framework for a symmetry result arising in a conjecture of G.W. Gibbons and we apply it to the fractional Laplace operator, to the elliptic operators with constant coefficients, to the quasilinear operators, and to elliptic fully nonlinear operators with possible gradient dependence.
Indiana University Mathematics Journal
2011
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10.1512/iumj.2011.60.4433
10.1512/iumj.2011.60.4433
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Indiana Univ. Math. J. 60 (2011) 121 - 142
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