In our research we will study the existence of weak solutions to the problem−[M(‖u‖p1,p)]p−1∆pu=f(x,u) +∫Ωk(x,y)H(u)dyin Ω,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.
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Mathematics
, 2025, Issue 1, pp. 1–10
ISSN Online: 0000-0000
DOI:
10.xxxx/example-doi