The talk deals with the existence of entire solutions of a quasilinear equation in RN, which involves a general variable exponent elliptic operator A of the p(x)-Laplacian type in divergence form and two main nonlinearities of growth q=q(x) and r=r(x). The results we present are new even in the case of constant exponents and even in the semilinear case p=2.
Existence of entire solutions for a class of variable exponent elliptic equations
PUCCI, Patrizia
2014
Abstract
The talk deals with the existence of entire solutions of a quasilinear equation in RN, which involves a general variable exponent elliptic operator A of the p(x)-Laplacian type in divergence form and two main nonlinearities of growth q=q(x) and r=r(x). The results we present are new even in the case of constant exponents and even in the semilinear case p=2.File in questo prodotto:
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