Investigation of closed form solitons for the stochastic Chavy-Waddy-Kolokolnikov equation in bacterial aggregation. [PDF]
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Hamiltonian simulation for nonlinear partial differential equation by Schrödingerization. [PDF]
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On Some Elliptic Equations with Nonlocal Nonlinear Terms(Solutions for Nonlinear Elliptic Equations)
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Nonlinear elliptic equations with singular nonlinearities
Asymptotic Analysis, 2013In this paper we study nonlinear elliptic boundary value problems with singular nonlinearities whose simplest example is −div (|∇u|p−2∇u)=f/uγ in Ω, u=0 on ∂Ω, where Ω is a bounded open set in RN (N≥2), γ>0 ...
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Nonlinear Singular Elliptic Equations
Journal of the London Mathematical Society, 1989Let F be a dense vector subspace of a Banach space E, and f be a functional defined on F, in which f is not expected to have any critical point. We extend the variational theory to seek generalized critical points of f in E (not in F). Using these results we find solutions in \(W_ 0^{1,2}(\Omega)\) of the following equation \[ (P)\quad -\Delta u+c=Ke ...
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ON DEGENERATE NONLINEAR ELLIPTIC EQUATIONS
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