Results 11 to 20 of about 6,453 (213)
A sub-supersolution approach for a quasilinear Kirchhoff equation [PDF]
Journal of Mathematical Physics, 2015 In this paper, we establish an existence result for a quasilinear Kirchhoff equation, via a sub- and supersolution approach, by using the Minty-Browder’s Theorem for pseudomonotone operators theory.
Claudianor O. Alves +1 more
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Supersolutions to degenerated logistic equation type [PDF]
, 2014 In this work we provide a method for building up a strictly positive supersolution for the steady state of a degenerated logistic equation type, i.e., when the weight function vanishes on the boundary of the domain. This degenerated system is related in obtaining the so-called large solutions.
Marcos Marvá
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Supersolutions for a class of nonlinear parabolic systems [PDF]
Journal of Differential Equations, 2015 In this paper, by using scalar nonlinear parabolic equations, we construct supersolutions for a class of nonlinear parabolic systems including $$ \left\{\begin{array}{ll} \partial_t u= u+v^p,\qquad & x\in ,\,\,\,t>0,\\ \partial_t v= v+u^q, & x\in ,\,\,\,t>0,\\ u=v=0, & x\in\partial ,\,\,\,t>0,\\ (u(x,0), v(x,0))=(u_0(x),v_0(x))
Kazuhiro Ishige +2 more
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A note on fractional supersolutions
Electronic Journal of Differential Equations, 2016 We study a class of equations driven by nonlocal, possibly degenerate, integro-differential operators of differentiability order $s\in (0,1)$ and summability growth $p>1$, whose model is the fractional $p$-Laplacian with measurable coefficients.
Janne Korvenpaa +2 more
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Sub-supersolution theorems for quasilinear elliptic problems: A variational approach
Electronic Journal of Differential Equations, 2004 This paper presents a variational approach to obtain sub - supersolution theorems for a certain type of boundary value problem for a class of quasilinear elliptic partial differential equations.
Vy Khoi Le, Klaus Schmitt
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A subsolution-supersolution method for quasilinear systems
Electronic Journal of Differential Equations, 2005 Assuming that a system of quasilinear equations of gradient type admits a strict supersolution and a strict subsolution, we show that it also admits a positive solution.
Dimitrios A. Kandilakis +1 more
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Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains [PDF]
, 2013 We consider a semilinear elliptic problem with a nonlinear term which is the product of a power and the Riesz potential of a power. This family of equations includes the Choquard or nonlinear Schroedinger--Newton equation. We show that for some values of
Vitaly Moroz, Jean Van Schaftingen
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Supersolutions to nonautonomous Choquard equations in general domains [PDF]
Advances in Nonlinear Analysis, 2023 A. Aghajani, Juha Kinnunen
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Existence and global behavior of the solution to a parabolic equation with nonlocal diffusion
AIMS Mathematics, 2021 In this paper, we are concerned with the existence, uniqueness and long-time behavior of the solutions for a parabolic equation with nonlocal diffusion even if the reaction term is not Lipschitz-continuous at 0 and grows superlinearly or exponentially at
Fengfei Jin, Baoqiang Yan
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Mathematical Biosciences and Engineering, 2022 This paper considers a singular Kirchhoff equation with convection and a parameter. By defining new sub-supersolutions, we prove a new sub-supersolution theorem.
Xiaohui Qiu, Baoqiang Yan
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