Results 71 to 80 of about 526 (85)

Loop Type Subcontinua of Positive Solutions for Indefinite Concave-Convex Problems

open access: yesAdvanced Nonlinear Studies, 2019
We establish the existence of loop type subcontinua of nonnegative solutions for a class of concave-convex type elliptic equations with indefinite weights, under Dirichlet and Neumann boundary conditions.
Kaufmann Uriel   +2 more
doaj   +1 more source

Global Dynamics of Generalized Logistic Equations

open access: yesAdvanced Nonlinear Studies, 2018
We consider a parameter dependent parabolic logistic population model with diffusion and degenerate logistic term allowing for refuges for the population.
Daners Daniel, López-Gómez Julián
doaj   +1 more source

An indefinite concave-convex equation under a Neumann boundary condition II

open access: yes, 2016
We proceed with the investigation of the problem $(P_\lambda): $ $-\Delta u = \lambda b(x)|u|^{q-2}u +a(x)|u|^{p-2}u \ \mbox{ in } \Omega, \ \ \frac{\partial u}{\partial \mathbf{n}} = 0 \ \mbox{ on } \partial \Omega$, where $\Omega$ is a bounded smooth ...
Quoirin, Humberto Ramos   +1 more
core   +1 more source

Diffusive logistic equations with harvesting and heterogeneity under strong growth rate

open access: yesAdvances in Nonlinear Analysis, 2017
We consider the ...
Shabani Rokn-e-vafa Saeed   +1 more
doaj   +1 more source

Choquard-type equations with Hardy–Littlewood–Sobolev upper-critical growth

open access: yesAdvances in Nonlinear Analysis, 2018
We are concerned with the existence of ground states and qualitative properties of solutions for a class of nonlocal Schrödinger equations. We consider the case in which the nonlinearity exhibits critical growth in the sense of the Hardy–Littlewood ...
Cassani Daniele, Zhang Jianjun
doaj   +1 more source

On the moving plane method for boundary blow-up solutions to semilinear elliptic equations

open access: yesAdvances in Nonlinear Analysis, 2018
We consider weak solutions to -Δ⁢u=f⁢(u){-\Delta u=f(u)} on Ω1∖Ω0{\Omega_{1}\setminus\Omega_{0}}, with u=c≥0{u=c\geq 0} in ∂⁡Ω1{\partial\Omega_{1}} and u=+∞{u=+\infty} on ∂⁡Ω0{\partial\Omega_{0}}, and we prove monotonicity properties of the solutions via
Canino Annamaria   +2 more
doaj   +1 more source

An elliptic equation with an indefinite sublinear boundary condition

open access: yesAdvances in Nonlinear Analysis, 2016
We investigate the ...
Ramos Quoirin Humberto, Umezu Kenichiro
doaj   +1 more source

Nonlinear elliptic equations and systems with linear part at resonance

open access: yes, 2016
The famous result of Landesman and Lazer [10] dealt with resonance at a simple eigenvalue. Soon after publication of [10], Williams [14] gave an extension for repeated eigenvalues.
Korman, Philip
core   +1 more source

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