Existence of solution for a class of nonvariational Kirchhoff type problem via dynamical methods (Q2183455)
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| Language | Label | Description | Also known as |
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| English | Existence of solution for a class of nonvariational Kirchhoff type problem via dynamical methods |
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Existence of solution for a class of nonvariational Kirchhoff type problem via dynamical methods (English)
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27 May 2020
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The authors study an \(N\)-dimensional nonlinear Kirchhoff-type boundary-value problem. Besides a general nonlinearity, the equation contains an \(L_2\) norm of the solution with a factor \(b\), and thus is non-local. The solution is supposed to be positive. The authors prove existence of a global nontrivial (positive) solution for small enough \(b\).
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parabolic equations
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nonlocal problem
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second-order elliptic equations
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existence
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global solution
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Kirchhoff problem
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