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We discuss recent advances in the theory of quasilinear equations of the type in , in the case , where is a nonnegative measurable function, or measure, for the -Laplacian , as well as more general quasilinear, fractional Laplacian, and Hessian operators.
Within this context, we obtain some new results, in particular, necessary and sufficient conditions for the existence of solutions , etc., and prove an enhanced version of Wolff's inequality for intrinsic nonlinear potentials associated with such problems.
Cite this article
Igor E. Verbitsky, Quasilinear elliptic equations with sub-natural growth terms and nonlinear potential theory. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 30 (2019), no. 4, pp. 733–758DOI 10.4171/RLM/869