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Steklov problems for the <i>p</i>−Laplace operator involving <i>L<sup>q</sup> </i>-norm

Steklov problems for the <i>p</i>−Laplace operator involving <i>L<sup>q</sup> </i>-norm

Abstract In this paper, we are concerned with the study of the spectrum for the nonlinear Steklov problem of the form <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="block"> <m:mrow> <m:mrow> <m:mo>{</m:mo> <m:mrow> <m:mtable columnalign="left"> <m:mtr columnalign="left"> <m:mtd columnalign="left"> <m:mrow> <m:msub> <m:mrow> <m:mi mathvariant="normal">Δ</m:mi> </m:mrow> <m:mi>p</m:mi> </m:msub> <m:mi>u</m:mi> <m:mo>=</m:mo> <m:msup> <m:mrow> <m:mrow> <m:mrow> <m:mo>|</m:mo> <m:mi>u</m:mi> …