Results 11 to 20 of about 3,885,892 (276)
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we look for solutions to the following critical Schrödinger system $$\begin{cases} -\Delta u+(V_1+\lambda_1)u=|u|^{2^*-2}u+|u|^{p_1-2}u+\beta r_1|u|^{r_1-2}u|v|^{r_2}&{\rm in}\ \mathbb{R}^N,\\ -\Delta v+(V_2+\lambda_2)v=|v|^{2^*-2}v+|v ...
Lei Long, Xiaojing Feng
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Positive solutions for parametric (p(z),q(z))-equations
Open Mathematics, 2020 We consider a parametric elliptic equation driven by the anisotropic (p,q)(p,q)-Laplacian. The reaction is superlinear. We prove a “bifurcation-type” theorem describing the change in the set of positive solutions as the parameter λ\lambda moves in ℝ+=(0,
Gasiński Leszek +2 more
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On Positive Solutions of the Heat Equation [PDF]
Nagoya Mathematical Journal, 1967 Consider the positive and twice continuously differentiable solutions u of the heat equationin an open t-strip Ω = Rn×(0,T) for some T>0, where Rn is the n-dimensional Euclidean space.In this note, we prove a theorem of Fatou type on u and, as its application, the uniqueness theorem for the Cauchy problem of ( 1 ).
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A POSITIVE SOLUTION FOR A NONLOCAL SCHRÖDINGER EQUATION [PDF]
Bulletin of the Australian Mathematical Society, 2014 AbstractWe provide an existence result of radially symmetric, positive, classical solutions for a nonlinear Schrödinger equation driven by the infinitesimal generator of a rotationally invariant Lévy process.
Zhang, Yongchao, Zhu, Gaosheng
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On the positive solutions of the Matukuma equation [PDF]
Duke Mathematical Journal, 1993 The author proves that for \(1< p0\). This completes the results obtained before by \textit{Y. Li} and \textit{W.-M. Ni} [Arch. Ration. Mech. Anal. 108, No. 2, 175-194 (1989; Zbl 0705.35039); ibid. 118, No. 3, 223-243 (1992; Zbl 0764.35014)].
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Positive Solutions of a Class of Operator Equations [PDF]
Ukrainian Mathematical Journal, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cvetkovic, Aleksandar +2 more
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Agricultural Water ManagementFarm dams are a ubiquitous feature in agricultural landscapes worldwide, functioning as a major source of water for livestock or crop irrigation. Their number is increasing rapidly, often dominating the cumulative surface area of inland waters. Unmanaged
K.U.D.N. Hansani +3 more
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Boundary Value Problems, 2018 In this paper, we deal with a strong coupled predator–prey model with modified Holling–Tanner functional response under homogeneous Neumann boundary conditions. We mainly discuss the following two problems: (1) stability of the positive constant solution;
Rong Zeng
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Ecological InformaticsEffective conservation relies on accurate data on species distributions and their change over time. Recent advances in low-cost acoustic sensors and artificial intelligence (AI) have transformed ecoacoustics into a scalable tool for automated, large ...
Kristian Bell +3 more
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New Positive Solutions of Nonlinear Elliptic PDEs
Applied Sciences, 2020 We are concerned with positive solutions of two types of nonlinear elliptic boundary value problems (BVPs). We present conditions for existence, uniqueness and multiple positive solutions of a first type of elliptic BVPs.
Mustafa Inc +6 more
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