Natural Science, Mathematics, 2025
Existence of Solutions for SemilinearIntegro-differential Equations of p-Kirchhoff Type
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Submitted: 2024-12-18; Published: 2024-12-18
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Abstract
In our research we will study the existence of weak solutions to the problemā[M(āuāp1,p)]pā1āpu=f(x,u) +ā«ā¦k(x,y)H(u)dyin ā¦,with zero Dirichlet boundary condition on a bounded smooth domain ofRn,1< p < N;M,f,kandHare given functions. By means of the Galerkin methodand using of the Brouwer Fixed Point theorem we get our results. The uniquenessof a weak solution is also considered.