Results 161 to 170 of about 2,153,662 (184)

Superlinear Elliptic Systems With Reaction Terms Involving Product of Powers

Applied Mathematics Letters, 2018
Positive solutions of superlinear elliptic systems are considered. It is shown that the system has a connected set of solutions due to Leray-Schauder degree theory. The behaviour of the solutions depending on the bifurcation parameter is investigated.
Petr Girg
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Combined effects in planar quasilinear Schrödinger equations with superlinear reaction

Asymptotic Analysis, 2022
In this paper, we prove the existence of nontrivial solutions for the following planar quasilinear Schrödinger equation: [Formula: see text] where [Formula: see text] and [Formula: see text] is of subcritical exponential growth satisfying some mild conditions.
Zhang, Ning, Tang, Xianhua, Chen, Sitong
openaire   +2 more sources

Carleman Estimate and Null Controllability for a Degenerate Parabolic Equation With a Slightly Superlinear Reaction Term

Nonlinear Differential Equations and Applications, 2023
This paper proves the null controllability of the following degenerate parabolic equation: \[ u_t - (x^\alpha u_x)_x + p(t,x,u) = h \chi_\omega \text{ in } (0, 1) \times (0, T), \] with \(0 < \alpha < \frac{1}{2}\) and \(p\) a Lipschitz continuous function with respect to \(u\) satisfying a growth condition at infinity similar to the one encountered in
Chunpeng Wang
exaly   +3 more sources

Multiple Nodal Solutions for Nonlinear Nonhomogeneous Elliptic Problems With a Superlinear Reaction

Nonlinear Analysis: Real World Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tieshan He, Pengfei Guo, Yehui Huang
exaly   +3 more sources

Martingale Solutions of Fractional Stochastic Reaction-Diffusion Equations Driven by Superlinear Noise

Acta Mathematica Scientia
In this paper, we prove the existence of martingale solutions of a class of stochastic equations with pseudo-monotone drift of polynomial growth of arbitrary order and a continuous diffusion term with superlinear growth. Both the nonlinear drift and diffusion terms are not required to be locally Lipschitz continuous.
Bixiang Wang
exaly   +3 more sources

Nonlinear elliptic problems with superlinear reaction and parametric concave boundary condition

Israel Journal of Mathematics, 2016
The paper under review deals with the existence and characterization of solutions of the following nonlinear elliptic system with Neumann boundary condition \[ \begin{cases} -\Delta_p u(z)=f(z,u(z)) &\text{ in }\Omega,\\ |\nabla u|^{p-2}\nabla u\cdot n=\lambda\beta(z)u(z)^{q-1} & \text{ on }\partial\Omega, \end{cases} \] where \(\Delta_p u ...
Papageorgiou, Nikolaos S., Rădulescu, Vicenţiu D.   +1 more
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A Sign-Changing Solution for a Superlinear Dirichlet Problem With a Reaction Term Nonzero at Zero

Nonlinear Analysis: Theory, Methods & Applications, 1998
Weak solutions of the boundary value problem \[ \Delta u+f(u)-\varepsilon =0 \quad \text{in }\Omega,\qquad u=0 \quad \text{on }\partial\Omega, \] are studied, where \(\Omega \) is a smooth bounded region in \(\mathbb{R}^{N}\), the function \(f\in C^{1}(\mathbb{R})\) satisfies \(f(0)=0\) and \(\varepsilon \neq 0\) with \(|\varepsilon |\) is taken to be ...
exaly   +3 more sources

Nonstationary homoclinic solutions for infinite-dimensional fractional reaction-diffusion system with two types of superlinear nonlinearity

Discrete and Continuous Dynamical Systems - B, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Peng, Wu, Yan, Tang, Xianhua
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Multivalued Random Dynamics of Fractional Reaction–Diffusion–AdvectionEquations Driven by Superlinear Colored Noise on Unbounded Domains

Asymptotic Analysis
This article investigates the multivalued random dynamics generated by solution operators of fractional random reaction–diffusion–advection equations driven by superlinear colored noise on unbounded domains.
Mirelson Freitas, Dexin Li, Da Tien Nguyen   +2 more
exaly   +2 more sources

Global well-posedness and long-term behavior of discrete reaction-diffusion equations driven by superlinear noise

Stochastic Analysis and Applications, 2020
The global well-posedness as well as long-term behavior in terms of mean random attractors and invariant measures are investigated for a class of stochastic discrete reaction-diffusion equations de...
Renhai Wang, Bixiang Wang
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