Quasilinear elliptic equations involving measure valued absorption terms and measure data
Quasilinear elliptic equations involving measure valued absorption terms and measure data
Abstract Let 1 < p < N and Ω ⊂ ℝ N be an open bounded domain. We study the existence of solutions to equation $$(E) - {\Delta _p}u + g(u)\sigma = \mu $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mo>(</mml:mo> <mml:mi>E</mml:mi> <mml:mo>)</mml:mo> <mml:mo>−</mml:mo> <mml:msub> <mml:mi>Δ</mml:mi> <mml:mi>p</mml:mi> </mml:msub> <mml:mi>u</mml:mi> <mml:mo>+</mml:mo> <mml:mi>g</mml:mi> <mml:mo>(</mml:mo> <mml:mi>u</mml:mi> <mml:mo>)</mml:mo> …