Some results about an anisotropic -Laplace–Barenblatt equation

Jacques Giacomoni, Guy Vallet · Advances in Nonlinear Analysis · 2012

Abstract. We investigate the following quasilinear parabolic equation of Barenblatt type, where , with , is a bounded domain with a Lipschitz boundary denoted by , , , , and f is a Carathéodory function which satisfies suitable growth conditions and . We prove the existence of a strong solution and give some related regularity results.

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