On variational competing <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg" display="inline" id="d1e22"><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi></mml:mrow></mml:mfenced><mml:mo>−</mml:mo></mml:mrow></mml:math>Laplacian Dirichlet problem with gradient depending weight
Marek Galewski, Dumitru Motreanu
Abstract
We investigate the existence of variational generalized solutions to coercive competitive equations driven by a competing p,q−Laplacian type operator with weigth depending on the gradient. An abstract existence result based on a Galerkin scheme is therefore obtained and subsequently applied.
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MathematicsScalable Vector GraphicsLaplace operatorOperator (biology)AlgorithmCombinatoricsMathematical analysisComputer scienceChemistryTranscription factorGeneBiochemistryRepressorOperating systemNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNonlinear Differential Equations Analysis