Results 1 to 10 of about 183 (55)
Existence results for nonlinear elliptic problems on fractal domains
Some existence results for a parametric Dirichlet problem defined on the Sierpiński fractal are proved. More precisely, a critical point result for differentiable functionals is exploited in order to prove the existence of a well-determined open interval
Ferrara Massimiliano +2 more
doaj +2 more sources
Existence and multiplicity results for a Steklov problem involving (p(x), q(x))-Laplacian operator
In this work, we are concerned with a generalized Steklov problem with (p(x), q(x))-Laplacian operator. Under some appropriate conditions on the data involved in the elliptic problem, we prove the existence of at least three solutions using Ricceri’s ...
Karim Belhadj +3 more
doaj +1 more source
While it is known that one can consider the existence of solutions to boundary-value problems for fractional differential equations with derivative terms, the situations for the multiplicity of weak solutions for the p-Laplacian fractional differential ...
Chen Yiru, Gu Haibo
doaj +1 more source
Existence and multiplicity results for fractional p(x)-Laplacian Dirichlet problem
In this paper, we study a class of fractional p(x)-Laplacian Dirichlet problems in a bounded domain with Lipschitz boundary. Using variational methods, we prove in different situations the existence and multiplicity of solutions.
Chakrone O. +3 more
doaj +1 more source
Nontrivial solutions to the p-harmonic equation with nonlinearity asymptotic to |t|p–2t at infinity
We consider the following p-harmonic ...
He Qihan, Lv Juntao, Lv Zongyan
doaj +1 more source
On a version of Trudinger-Moser inequality with M\"obius shift invariance [PDF]
The paper raises a question about the optimal critical nonlinearity for the Sobolev space in two dimensions, connected to loss of compactness, and discusses the pertinent concentration compactness framework. We study properties of the improved version of
Adimurthi, Tintarev, K.
core +2 more sources
From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem [PDF]
The notion of Nash equilibria plays a key role in the analysis of strategic interactions in the framework of $N$ player games. Analysis of Nash equilibria is however a complex issue when the number of players is large.
Blanchet, Adrien, Carlier, Guillaume
core +6 more sources
Simple study designs in ecology produce inaccurate estimates of biodiversity responses
We suggest that more investment in more robust designs is needed in ecology since inferences from simpler designs, even with large sample sizes may be misleading. Facilitating this requires longer‐term funding and stronger research–practice partnerships. We also propose ‘accuracy weights’ and demonstrate how they can weight studies in three recent meta‐
Alec P. Christie +6 more
wiley +1 more source
On variational nonlinear equations with monotone operators
Using monotonicity methods and some variational argument we consider nonlinear problems which involve monotone potential mappings satisfying condition (S) and their strongly continuous perturbations.
Galewski Marek
doaj +1 more source
An optimal bound for nonlinear eigenvalues and torsional rigidity on domains with holes
In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary value problem for the p-Laplacian operator in domains with convex holes.
Della Pietra, Francesco +1 more
core +1 more source

