Results 71 to 77 of about 522 (77)

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 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

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