Nonlocal Problem for a System of Partial Differential Equations of Higher Order with Pulsed Actions
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DOI: 10.1007/s11253-020-01750-9
Abstract: We consider a nonlocal problem for a system of partial differential equations of higher order with pulsed actions. By introducing new unknown functions, the analyzed problem is reduced to an equivalent problem including a nonlocal… read more here.
Keywords: system; order pulsed; nonlocal problem; problem system ... See more keywords
Three solutions for a nonlocal problem with critical growth
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DOI: 10.1016/j.jmaa.2018.09.038
Abstract: The main goal of this work is to prove the existence of three different solutions (one positive, one negative and one with nonconstant sign) for the equation $(-\Delta_p)^s u= |u|^{p^{*}_s -2} u +\lambda f(x,u)$ in… read more here.
Keywords: three solutions; solutions nonlocal; nonlocal problem; critical growth ... See more keywords
Existence results for an anisotropic nonlocal problem involving critical and discontinuous nonlinearities
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DOI: 10.1080/17476933.2020.1743982
Abstract: ABSTRACT In this paper, we are interested in the existence of solutions to the anisotropic nonlocal problem where Ω is a smooth bounded domain of , , or and , are parameters where is a… read more here.
Keywords: results anisotropic; anisotropic nonlocal; existence results; nonlocal problem ... See more keywords
Nonlocal Problem for an Elliptic Equation with Singular Coefficients in a Semi-infinite Parallelepiped
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DOI: 10.1134/s1995080220010084
Abstract: Abstract We consider a three-dimensional elliptic equation with two singular coefficients, for which a nonlocal problem is studied in a semi-infinite parallelepiped. The study of the problem is carried out using the method of separation… read more here.
Keywords: singular coefficients; nonlocal problem; infinite parallelepiped; elliptic equation ... See more keywords
On Solvability of Nonlocal Problem for Loaded Parabolic-Hyperbolic Equation
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DOI: 10.3103/s1066369x18030076
Abstract: We study unique solvability of a nonlocal problem for equations of mixed type in a finite domain. This equation contains the partial fractional Riemann–Liouville derivative. The boundary condition of the problem contains a linear combination… read more here.
Keywords: solvability nonlocal; nonlocal problem; solvability; equation ... See more keywords