Results 151 to 160 of about 667 (175)
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 ...
John M Neuberger
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Nano Letters, 2023 The superlinear dependence of the reaction rate on the power of the excitation light, which may arise from both thermal and nonthermal effects, has been a hallmark of plasmon-driven photocatalysis on nanostructured metal surfaces. However, it remains challenging to distinguish and quantify the thermal and nonthermal effects because even slight ...
Kexun Chen, Hui Wang
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Singular (p, q)-equations with superlinear reaction and concave boundary condition [PDF]
Applicable Analysis, 2020 We consider a parametric nonlinear elliptic problem driven by the sum of a p-Laplacian and of a q-Laplacian (a (p,q)-equation) with a singular and (p−1)-superlinear reaction and a Robin boundary co...
Nikolaos S. Papageorgiou +2 more
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Multiple nodal solutions for nonlinear nonhomogeneous elliptic problems with a superlinear reaction
Nonlinear Analysis: Real World Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tieshan He, Pengfei Guo, Yehui Huang
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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
Wang Chunpeng
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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
Wang Chunpeng
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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 M Freitas
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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 M Freitas
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, 2003 We are interested in the existence of distributional solutions for two types of nonlinear evolution problems, whose models are (1.1) and (1.2) below. In the first one the nonlinear reaction term depends on the solution with a slightly superlinear growth.
DALL'AGLIO, Andrea +2 more
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A Multiplicity Theorem for Superlinear Double Phase Problems
Symmetry, 2021 We consider a nonlinear Dirichlet problem driven by the double phase differential operator and with a superlinear reaction which need not satisfy the Ambrosetti–Rabinowitz condition.
Beata Deregowska +2 more
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Combined effects in planar quasilinear Schrödinger equations with superlinear reaction
Asymptotic Analysis, 2022In 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
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