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Nonlinear singular problems with gradient dependence
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DOI：10.1007/s41478-025-01021-5.png)
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Abstract
En 中文
We consider a Dirichlet problem driven by a nonlinear nonhomogeneous differential operator, with a reaction which exhibits the combined effects of a parametric singular term and of a Carath & eacute;odory gradient dependent perturbation. Using the theory of nonlinear operators of monotone type, we show that for all small values of the parameter the problem has at least one positive smooth solution.
Keywords:
Nonhomogeneous differential operator
Truncation
Operator of monotone type
Nonlinear regularity theory
Nonlinear maximum principle
Singular term
Journal
J
IF:
1.1
Papers:
140
Citations:
0
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