Search results for "natural growth condition"

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Quasilinear elliptic equations with singular quadratic growth terms

2011

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.

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
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