Results 11 to 20 of about 3,862,945 (275)

Multiple positive solutions to elliptic boundary blow-up problems [PDF]

, 2016
We prove the existence of multiple positive radial solutions to the sign-indefinite elliptic boundary blow-up problem \[ \left\{\begin{array}{ll} \Delta u + \bigl(a^+(\vert x \vert) - \mu a^-(\vert x \vert)\bigr) g(u) = 0, & \; \vert x \vert < 1, \\ u(x)
Aftalion, Alama, Ambrosetti, Bandle, Bandle, Bandle, Barutello, Berestycki, Bieberbach, Bonheure, Boscaggin, Boscaggin, Boscaggin, Boscaggin, Castro, Conley, Dambrosio, Dambrosio, Dambrosio, Ellero, Feltrin, Feltrin, García-Huidobro, García-Melián, García-Melián, Gaudenzi, Gaudenzi, Girão, Gómez-Reñasco, Keller, López-Gómez, López-Gómez, López-Gómez, López-Gómez, Marcus, Mawhin, Medio, Muldowney, Ni, Osserman, Papini, Papini, Papini, Rademacher, Ważewski   +44 more
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Normalized solutions to the Schrödinger systems with double critical growth and weakly attractive potentials

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
doaj   +1 more source

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, Krech Ireneusz, Papageorgiou Nikolaos S.   +2 more
doaj   +1 more source

Classification of positive solutions of heat equation with supercritical absorption [PDF]

, 2013
Let $q\geq 1+\frac{2}{N}$. We prove that any positive solution of (E) $\prt_t u-\xD u+u^q=0$ in $\mathbb{R}^N\times(0,\infty)$ admits an initial trace which is a nonnegative Borel measure, outer regular with respect to the fine topology associated to the
Gkikas, Konstantinos, Veron, Laurent
core   +3 more sources

Boundary singularities of positive solutions of some nonlinear elliptic equations [PDF]

, 2007
We study the behaviour near a boundary point a of any positive solution of a nonlinear elliptic equations with forcing term which vanishes on the boundary except at a.
Bidaut-Veron, Marie-Francoise, Ponce, Augusto, Veron, Laurent   +2 more
core   +4 more sources

Singular solutions of fully nonlinear elliptic equations and applications [PDF]

, 2011
We study the properties of solutions of fully nonlinear, positively homogeneous elliptic equations near boundary points of Lipschitz domains at which the solution may be singular. We show that these equations have two positive solutions in each cone of $\
A. Ancona, A. Friedman, A. Quaas, A. Vitolo, A. Świech, B. Sirakov, Boyan Sirakov, Charles K. Smart, D. Gilbarg, D.A. Labutin, E. Hopf, E.R. Jakobsen, F. Punzo, H. Berestycki, H. Ishii, I. Capuzzo Dolcetta, J. Serrin, J.T. Kemper, K. Miller, K.-C. Chang, L.A. Caffarelli, L.A. Caffarelli, M. Borsuk, M.E. Amendola, M.G. Crandall, N. Winter, N.V. Krylov, P. Bauman, P.H. Rabinowitz, R. Jensen, S. Koike, S.N. Armstrong, S.N. Armstrong, Scott N. Armstrong, Y Pinchover   +34 more
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Nature positive farm dams

Agricultural Water Management
Farm 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, Lukas Schuster, Peter I. Macreadie, Martino E. Malerba   +3 more
doaj   +1 more source

On Positive Solutions for Some Nonlinear Semipositone Elliptic Boundary Value

Nonlinear Analysis, 2006
This study concerns the existence of positive solutions to classes of boundary value problems of the form −∆u = g(x,u), x ∈ Ω, u(x) = 0, x ∈ ∂Ω, where ∆ denote the Laplacian operator, Ω is a smooth bounded domain in RN (N ≥ 2) with ∂Ω of class C2, and ...
G. A. Afrouzi, S. H. Rasouli
doaj   +1 more source

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, Noureddine Bouteraa, Mehmet Ali Akinlar, Slimane Benaicha, Yu-Ming Chu, Gerhard-Wilhelm Weber, Bandar Almohsen   +6 more
doaj   +1 more source

Promise and pitfalls: Variable performance of AI-assisted passive acoustic monitoring of birds and frogs using BirdNET and VicFrogNET

Ecological Informatics
Effective 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, Blake Edwards, Thieu L. Phan, Martino E. Malerba   +3 more
doaj   +1 more source