Dirichlet (p,q)-equations with gradient dependent and locally defined reaction
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Date
2021-04-30
Authors
Liu, Zhenhai
Papageorgiou, Nikolaos S.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We consider a Dirichlet (p,q)-equation, with a gradient dependent reaction which is only locally defined. Using truncations, theory of nonlinear operators of monotone type, and fixed point theory (the Leray-Schauder Alternative Theorem), we show the existence of a positive smooth solution.
Description
Keywords
(p,q)-differential operator, Convection, Fixed point, Nonlinear, Regularity, Positive solution, Leray-Schauder alternative theorem
Citation
Liu, Z., & Papageorgiou, N. S. (2021). Dirichlet (p,q)-equations with gradient dependent and locally defined reaction. <i>Electronic Journal of Differential Equations, 2021</i>(34), pp. 1-8.
Rights
Attribution 4.0 International