Results 31 to 40 of about 2,153,662 (184)
Positive and nodal solutions for nonlinear nonhomogeneous parametric Neumann problems
Electronic Journal of Differential Equations, 2020 We consider a parametric Neumann problem driven by a nonlinear nonhomogeneous differential operator plus an indefinite potential term. The reaction term is superlinear but does not satisfy the Ambrosetti-Rabinowitz condition.
Nikolaos S. Papageorgiou +2 more
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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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Scientific Reports, 2021 The steady magnetohydrodynamics (MHD) incompressible hybrid nanofluid flow and mass transfer due to porous stretching surface with quadratic velocity is investigated in the presence of mass transpiration and chemical reaction.
U. S. Mahabaleshwar +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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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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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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Journal of Differential Equations, 2000 The paper deals with the analysis of the structure of the set of positive solutions of \[ -\Delta u=\lambda u-a(x)|u^p|u\quad \text{in }\Omega,\qquad u|_{\partial\Omega}=0, \] where \(\Omega\) is a bounded \(C^2\) domain of \({\mathbb R}^n\), \( N\geq 1,\) \(\lambda \in {\mathbb R}\) is regarded as a continuation parameter and \(p\in (0,\infty).\) The ...
Gómez-Reñasco, R., López-Gómez, J.
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Revista Matemática Iberoamericana, 2020 This paper is concerned with the following quasilinear Schrödinger equation: -\Delta u+V(x)u-\frac{1}{2}\Delta (u^2)u= g(u), \quad x\in \mathbb{R}^N, where N\ge 3
Chen, Sitong +3 more
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