Results 81 to 90 of about 1,013 (119)

Multiple positive solutions to a p-Kirchhoff equation with logarithmic terms and concave terms

open access: yesOpen Mathematics
In this article, we focus on a class of pp-Kirchhoff-type equations that include logarithmic and concave terms. By applying the variational method, we establish the existence and multiplicity of positive solutions.
Liang Jin-Ping, Wang Ran-Ran, Wang Yue
doaj   +1 more source

Elliptic semi-linear systems on R\sp N

open access: yes, 2010
In this work we consider a system of k non-linear elliptic equations where the non-linear term is the sum of a quadratic form and a sub-critic term. We show that under suitable assumptions, e.g.
Garrisi, Daniele
core  

Visualizing Fluid Flows via Regularized Optimal Mass Transport with Applications to Neuroscience. [PDF]

open access: yesJ Sci Comput, 2023
Chen X   +4 more
europepmc   +1 more source

Multiple Solutions for Superlinear Fractional Problems via Theorems of Mixed Type

open access: yesAdvanced Nonlinear Studies, 2018
In this paper, we investigate the existence of multiple solutions for the following two fractional problems:
Ambrosio Vincenzo
doaj   +1 more source

Ground states for a fractional scalar field problem with critical growth

open access: yes, 2016
We prove the existence of a ground state solution for the following fractional scalar field equation $(-\Delta)^{s} u= g(u)$ in $\mathbb{R}^{N}$ where $s\in (0,1), N> 2s$,$ (-\Delta)^{s}$ is the fractional Laplacian, and $g\in C^{1, \beta}(\mathbb{R ...
Ambrosio, Vincenzo
core  

New multiplicity results in prescribing Q-curvature on standard spheres

open access: yesAdvanced Nonlinear Studies
In this paper, we study the problem of prescribing Q-Curvature on higher dimensional standard spheres. The problem consists in finding the right assumptions on a function K so that it is the Q-Curvature of a metric conformal to the standard one on the ...
Ben Ayed Mohamed, El Mehdi Khalil
doaj   +1 more source

Standing-wave solutions to a system of non-linear Klein–Gordon equations with a small energy/charge ratio

open access: yesAdvances in Nonlinear Analysis, 2014
We prove the existence of standing-wave solutions to a system of non-linear Klein–Gordon equations on ℝN with N ≥ 3. Our solutions are characterised by a small energy/charge ratio, appropriately defined.
Garrisi Daniele
doaj   +1 more source

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