A Weighted Eigenvalue Problems Driven by both <i>p</i>(·)-Harmonic and <i>p</i>(·)-Biharmonic Operators
A Weighted Eigenvalue Problems Driven by both <i>p</i>(·)-Harmonic and <i>p</i>(·)-Biharmonic Operators
Abstract The existence of at least one non-decreasing sequence of positive eigenvalues for the problem driven by both p (·)-Harmonic and p (·)-biharmonic operators <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="block"> <m:mtable columnalign="left"> <m:mtr> <m:mtd> <m:msubsup> <m:mrow> <m:mi mathvariant="normal">Δ</m:mi> </m:mrow> <m:mrow> <m:mi>p</m:mi> <m:mrow> <m:mo>(</m:mo> <m:mi>x</m:mi> <m:mo>)</m:mo> </m:mrow> </m:mrow> <m:mn>2</m:mn> </m:msubsup> <m:mi>u</m:mi> <m:mo>-</m:mo> <m:msub> <m:mrow> …