Existence Theorems for Parameter Dependent Weakly Continuous Operators with Applications
Results in Mathematics(2024)
摘要
The paper presents results on the solvability and parameter dependence for problems driven by weakly continuous potential operators with continuously differentiable and coercive potential. We provide a parametric version on the existence result to nonlinear equations involving coercive and weakly continuous operators. Applications address a variant of elastic beam equation.
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关键词
Weakly continuous operator,surjectivity,continuous dependence on parameters,beam equation,47H05,47J05,74K10
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