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Quasilinear elliptic equations with singular quadratic growth terms

Francesco PetittaLucio BoccardoLuigi OrsinaTommaso Leonori

subject

Quadratic growthnonlinear elliptic equations; natural growth condition; vertical asymptote; measure dataApplied MathematicsGeneral MathematicsMathematical analysisOpen setmeasure dataFunction (mathematics)nonlinear elliptic equationsBounded functionvertical asymptoteStandard probability spacenatural growth conditionAsymptoteValue (mathematics)Mathematics

description

In this paper, we deal with positive solutions for singular quasilinear problems whose model is [Formula: see text] where Ω is a bounded open set of ℝN, g ≥ 0 is a function in some Lebesgue space, and γ > 0. We prove both existence and nonexistence of solutions depending on the value of γ and on the size of g.

yearjournalcountryeditionlanguage
2011-08-01
10.1142/s0219199711004300http://hdl.handle.net/11573/225272