A singular \(( p , q )\)-equation with convection and a locally defined perturbation (Q2233253)
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| English | A singular \(( p , q )\)-equation with convection and a locally defined perturbation |
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A singular \(( p , q )\)-equation with convection and a locally defined perturbation (English)
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15 October 2021
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The authors study a parametric elliptic Dirichlet problem driven by the \((p,q)\)-Laplacian and with a right-hand side which is gradient dependent and has the combined effect of two more terms, one is a parametric singular term and the other one is a locally defined perturbation. It is shown that the problem has a positive smooth solution provided the parameter is sufficiently small.
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\(( p , q )\)-equation
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convection
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nonlinear regularity
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nonlinear maximum principle
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pseudomonotone operator
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existence of a positive solution
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