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Variable exponent multi-phase problems: existence and localization results via sub-supersolution method
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DOI：10.1007/s41808-025-00425-5.png)
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Abstract
En 中文
In this paper, we focus on a Dirichlet problem defined by a system of equations driven by multi-phase operators with variable exponents. Such equations have a right side which depends on the gradient of the solutions. Under very general assumptions on the nonlinearities, we first establish an existence and localization result for the problem under consideration via sub-supersolution method. Then, we produce constant sign solutions, that is, whose components are both positive or both negative.
Keywords:
Multi-phase operator
Variable exponents
Sub-supersolution method
Pseudomonotone operators
Convenction
Journal
J
IF:
1.1
Papers:
81
Citations:
0
Organization
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