Results 31 to 40 of about 667 (175)
Three nontrivial solutions for nonlinear fractional Laplacian equations
Advances in Nonlinear Analysis, 2018 We study a Dirichlet-type boundary value problem for a pseudodifferential equation driven by the fractional Laplacian, proving the existence of three non-zero solutions.
Düzgün Fatma Gamze +1 more
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Ground states of Nehari-Pohožaev type for a quasilinear Schrödinger system with superlinear reaction
Electronic Research Archive, 2023 <abstract><p>This article is devoted to study the following quasilinear Schrödinger system with super-quadratic condition:</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} \left\{\begin{matrix} -\Delta u+V_{1}(x)u-\Delta (u^{2})u = h(u,v),\ x\in \mathbb{R}^{N},\\ -\Delta v+
Yixuan Wang, Xianjiu Huang
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We prove that mild solutions to the stochastic heat equation with superlinear accretive forcing and polynomially growing multiplicative noise cannot explode under two sets of assumptions. The first set of assumptions allows both the deterministic forcing and multiplicative noise terms to grow polynomially, as long as the multiplicative noise is ...
Salins, Michael
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Nonlinear nonhomogeneous Neumann eigenvalue problems
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We consider a nonlinear parametric Neumann problem driven by a nonhomogeneous differential operator with a reaction which is $(p-1)$-superlinear near $\pm\infty$ and exhibits concave terms near zero.
Pasquale Candito +2 more
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Mathematics, 2020 In this paper, we consider a nonlocal p(x)-Kirchhoff problem with a p+-superlinear subcritical Caratheodory reaction term, which does not satisfy the Ambrosetti–Rabinowitz condition.
Bei-Lei Zhang, Bin Ge, Xiao-Feng Cao
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Periodic measures of reaction-diffusion lattice systems driven by superlinear noise
Electronic Research Archive, 2022 <abstract><p>The periodic measures are investigated for a class of reaction-diffusion lattice systems driven by superlinear noise defined on $ \mathbb Z^k $. The existence of periodic measures for the lattice systems is established in $ l^2 $ by Krylov-Bogolyubov's method.
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Positive solutions for nonlinear singular superlinear elliptic equations [PDF]
, 2019 We consider a nonlinear nonparametric elliptic Dirichlet problem driven by the p-Laplacian and reaction containing a singular term and a (p−1)-superlinear perturbation.
Bai, Yunru +2 more
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Solutions and positive solutions for superlinear Robin problems [PDF]
, 2019 We consider nonlinear, nonhomogeneous Robin problems with a (p - 1)-superlinear reaction term, which need not satisfy the Ambrosetti-Rabinowitz condition. We look for positive solutions and prove existence and multiplicity theorems.
Vetro F., Papageorgiou N. S., Vetro C.
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Nonlinear nonhomogeneous Dirichlet equations with a superlinear reaction
, 2013 We consider a nonlinear elliptic Dirichlet equation driven by a nonlinear nonhomogeneous differential operator involving a Carathéodory reaction which is $(p-1)$-superlinear but does not satisfy the Ambrosetti-Rabinowitz condition. First we prove a three-solutions-theorem extending an earlier classical result of Wang (Ann. Inst. H. Poincaré Anal.
Papageorgiou, Nikolaos S. +1 more
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Differential and Integral Equations, 2001 In this paper we characterize the existence and prove the uniqueness of the stable positive steady-state for a general class of superlinear indefinite reaction diffusion equations in the absence of $L_\infty$ a priori bounds. More precisely, it will be shown that the model possesses a linearly stable positive steady-state if, and only if, the trivial ...
Gómez-Reñasco, Rosa +1 more
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