We classify positive solutions to a class of quasilinear equations with Neumann or Robin boundary conditions in convex domains. Our main tool is an integral formula involving the trace of some relevant quantities for the problem. Under a suitable condition on the nonlinearity, a relevant consequence of our results is that we can extend to weak solutions a celebrated result obtained for stable solutions by Casten and Holland and by Matano.

Ciraolo G., Corso R., & Roncoroni A. (2021). Classification and non-existence results for weak solutions to quasilinear elliptic equations with Neumann or Robin boundary conditions. JOURNAL OF FUNCTIONAL ANALYSIS, 280(1), 1-27 [10.1016/j.jfa.2020.108787].

Classification and non-existence results for weak solutions to quasilinear elliptic equations with Neumann or Robin boundary conditions

Corso R.;
2021

Abstract

We classify positive solutions to a class of quasilinear equations with Neumann or Robin boundary conditions in convex domains. Our main tool is an integral formula involving the trace of some relevant quantities for the problem. Under a suitable condition on the nonlinearity, a relevant consequence of our results is that we can extend to weak solutions a celebrated result obtained for stable solutions by Casten and Holland and by Matano.
Settore MAT/05 - Analisi Matematica
Ciraolo G., Corso R., & Roncoroni A. (2021). Classification and non-existence results for weak solutions to quasilinear elliptic equations with Neumann or Robin boundary conditions. JOURNAL OF FUNCTIONAL ANALYSIS, 280(1), 1-27 [10.1016/j.jfa.2020.108787].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/456582
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