Results 31 to 40 of about 190 (55)

Concentration-compactness at the mountain pass level in semilinear elliptic problems

, 2007
The concentration compactness framework for semilinear elliptic equations without compactness, set originally by P.-L.Lions for constrained minimization in the case of homogeneous nonlinearity, is extended here to the case of general nonlinearities in ...
TIntarev, Kyril
core   +2 more sources

Some remarks about the summability of nonlocal nonlinear problems

Advances in Nonlinear Analysis, 2015
In this note, we will study the problem (-Δ)psu = f(x) on Ω, u = 0 in ℝN∖Ω, where 0 < s < 1, (-Δ)ps is the nonlocal p-Laplacian defined below, Ω is a smooth bounded domain. The main point studied in this work is to prove, adapting the techniques used in [
Barrios Begoña, Peral Ireneo, Vita Stefano   +2 more
doaj   +1 more source

Decomposition and Mean-Field Approach to Mixed Integer Optimal Compensation Problems [PDF]

, 2016
Mixed integer optimal compensation deals with optimization problems with integer- and real-valued control variables to compensate disturbances in dynamic systems.
Bauso, D., Başar, T., Zhu, Q.
core   +3 more sources

Existence Results for a critical fractional equation

, 2016
We are concerned with existence results for a critical problem of Brezis-Nirenberg Type involving an integro-differential operator. Our study includes the fractional Laplacian. Our approach still applies when adding small singular terms.
Bisci, Giovanni Molica, Hajaiej, Hichem, Vilasi, Luca   +2 more
core   +1 more source

Existence of three solutions for two quasilinear Laplacian systems on graphs

Demonstratio Mathematica
We deal with the existence of three distinct solutions for a poly-Laplacian system with a parameter on finite graphs and a (p,q)\left(p,q)-Laplacian system with a parameter on locally finite graphs. The main tool is an abstract critical point theorem in [
Pang Yan, Zhang Xingyong
doaj   +1 more source

Sequences of weak solutions for fractional equations [PDF]

, 2013
This work is devoted to study the existence of infinitely many weak solutions to nonlocal equations involving a general integrodifferential operator of fractional type.
Bisci, Giovanni Molica
core  

Infinitely many solutions for Schrödinger equations with Hardy potential and Berestycki-Lions conditions

Open Mathematics
In this article, we investigate the following Schrödinger equation: −Δu−μ∣x∣2u=g(u)inRN,-\Delta u-\frac{\mu }{{| x| }^{2}}u=g\left(u)\hspace{1em}{\rm{in}}\hspace{0.33em}{{\mathbb{R}}}^{N}, where N≥3N\ge 3, μ∣x∣2\frac{\mu }{{| x| }^{2}} is called the ...
Zhou Shan
doaj   +1 more source

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

Advanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia, Gallo Marco, Tanaka Kazunaga   +2 more
doaj   +1 more source

Potential and monotone homeomorphisms in Banach spaces

Advances in Nonlinear Analysis
Using the Ekeland variational principle and the mountain pass lemma we prove some properties about potential homeomorphisms between a real Banach space and its dual.
Bełdziński Michał, Galewski Marek
doaj   +1 more source

On multiplicity of solutions to nonlinear Dirac equation with local super-quadratic growth

Advances in Nonlinear Analysis
In this article, we study the following nonlinear Dirac equation: −iα⋅∇u+aβu+V(x)u=g(x,∣u∣)u,x∈R3.-i\alpha \hspace{0.33em}\cdot \hspace{0.33em}\nabla u+a\beta u+V\left(x)u=g\left(x,| u| )u,\hspace{1em}x\in {{\mathbb{R}}}^{3}.
Liao Fangfang, Chen Tiantian
doaj   +1 more source