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math.AP2012★ 1 cited
Monotonicity of solutions of quasilinear degenerate elliptic equation in half-spaces
Alberto Farina, Luigi Montoro, Berardino Sciunzi
We prove a weak comparison principle in narrow unbounded domains for solutions to in the case and is a power-type nonlinearity, or in the case $p>…
math.AP2012
Symmetry results for the -Laplacian equation
Luigi Montoro, Berardino Sciunzi, Marco Squassina
We consider the Dirichlet problem for the nonlinear -Laplacian equation. For axially symmetric domains we prove that, under suitable assumptions, there exist Mountain-pass so…