Results 81 to 90 of about 1,563 (106)

Fractional elliptic equations with critical exponential nonlinearity

Advances in Nonlinear Analysis, 2016
We study the existence of positive solutions for fractional elliptic equations of the type (-Δ)1/2u = h(u), u > 0 in (-1,1), u = 0 in ℝ∖(-1,1) where h is a real valued function that behaves like eu2 as u → ∞ .
Giacomoni Jacques, Kumar Mishra Pawan, Sreenadh K.   +2 more
doaj   +1 more source

Bubbles clustered inside for almost-critical problems

Open Mathematics
We investigate the existence of blowing-up solutions of the following almost-critical problem: −Δu+V(x)u=up−ε,u>0inΩ,u=0on∂Ω,-\Delta u+V\left(x)u={u}^{p-\varepsilon },\hspace{1.0em}u\gt 0\hspace{0.25em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\
Ayed Mohamed Ben, El Mehdi Khalil
doaj   +1 more source

Accelerated Optimization in the PDE Framework Formulations for the Active Contour Case. [PDF]

SIAM J Imaging Sci, 2020
Yezzi A, Sundaramoorthi G, Benyamin M.
europepmc   +1 more source

Existence results for an elliptic DirichletI problem

Le Matematiche, 2011
The main purpose of this paper is to present recent existence results for an elliptic eigenvalue Dirichlet problem. Precisely, our method ensures the existence of an exactly determined open interval (possibly unbounded) of positive parameters for which ...
Giuseppina D'Aguì, Giovanni Molica Bisci   +1 more
doaj  

A variational inequality of Kirchhoff-type in R N. [PDF]

J Inequal Appl, 2018
Zuo J, An T, Liu W.
europepmc   +1 more source

Least energy sign-changing solutions for a class of nonlocal Kirchhoff-type problems. [PDF]

Springerplus, 2016
Cheng B.
europepmc   +1 more source

On a class of N-dimensional anisotropic Sobolev inequalities. [PDF]

J Inequal Appl, 2018
Huang L, Rocha E.
europepmc   +1 more source

A note on mean field type equations

Demonstratio Mathematica
In this article, we provide a note on rigidity results for mean field-type equations with multiple exponential terms, including sinh-Gordon and Tzitzeica equations, on closed two-dimensional manifolds with positive Ricci curvature bounds.
Deng Kaixin, Luo Senping
doaj   +1 more source

On Isolated Singularities and Generic Regularity of Min-Max CMC Hypersurfaces. [PDF]

J Geom Anal
Bellettini C, Marshall-Stevens K.
europepmc   +1 more source

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Normalized Solutions for Lower Critical Choquard Equations with Critical Sobolev Perturbation

SIAM Journal on Mathematical Analysis, 2022
Shuai Yao, Vicenţiu D Rădulescu
exaly