On the existence of the solution of Hammerstein integral equations and fractional differential equations
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DOI: 10.1007/s12190-021-01558-1
Abstract: Nonlinear integral equations (particularly Hammerstein integral equations) and fractional differential equations have been the center of extensive research for various scientists because of their practical and physical significance. In this article, our focus is to… read more here.
Keywords: equations fractional; hammerstein integral; fractional differential; integral equations ... See more keywords
Existence Solution for Curl–Curl Kirchhoff Problem
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DOI: 10.1007/s40819-018-0487-9
Abstract: This paper deals with the existence solution for the nonlinear curl–curl Kirchhoff problem: $$\begin{aligned} M \left( \displaystyle \int \limits _{{{\mathrm{{\mathbb {R}}}}}^3} \left( \left| \nabla \times U \right| ^{2}+V(x)\left| U\right| ^{2} \right) dx \right) \left( \nabla… read more here.
Keywords: curl curl; mathrm mathbb; existence solution; mathrm ... See more keywords
Existence of a BV solution for a mean curvature equation
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DOI: 10.1016/j.jde.2021.07.021
Abstract: Abstract We prove the existence of a bounded variation solution for a quasilinear elliptic problem involving the mean curvature operator and a sublinear nonlinearity. We obtain such a solution as the limit of the solutions… read more here.
Keywords: existence solution; equation; mean curvature; solution ... See more keywords