Finite time blow up of solutions of the Kirchhoff-type equation with variable exponents

Piskin, E.2024-04-242024-04-2420202008-6822https://doi.org/10.22075/ijnaa.2019.16022.1841https://hdl.handle.net/11468/18851In this work, we investigate the following Kirchhoff-type equation with variable exponent nonlinearities u(tt) - M(parallel to del u parallel to(2)) Delta u + vertical bar u(t)vertical bar(p(x)-2) ut = vertical bar u vertical bar(q(x)-2) u. We proved the blow up of solutions in finite time by using modified energy functional method.eninfo:eu-repo/semantics/closedAccessBlow UpKirchhoff-Type EquationVariable ExponentFinite time blow up of solutions of the Kirchhoff-type equation with variable exponentsFinite time blow up of solutions of the Kirchhoff-type equation with variable exponentsArticle1113745WOS:0005667890000042-s2.0-8507903491310.22075/ijnaa.2019.16022.1841N/AN/A