Results 91 to 100 of about 1,698 (113)

An elliptic problem involving critical Choquard and singular discontinuous nonlinearity

Advanced Nonlinear Studies
The present article investigates the existence, multiplicity and regularity of weak solutions of problem involving a combination of critical Hartree-type nonlinearity along with singular and discontinuous nonlinearities (see (Pλ) $\left({\mathcal{P}}_ ...
Anthal Gurdev Chand, Giacomoni Jacques, Sreenadh Konijeti   +2 more
doaj   +1 more source

Sign changing solutions of the Hardy–Sobolev–Maz'ya equation

Advances in Nonlinear Analysis, 2014
In this article we will study the existence, multiplicity and Morse index of sign changing solutions for the Hardy–Sobolev–Maz'ya (HSM) equation in bounded domain and involving critical growth.
Ganguly Debdip
doaj   +1 more source

Ground state solutions to singularly perturbed Chern-Simons-Schrödinger systems with a neutral scalar field

Demonstratio Mathematica
In this paper, we consider the following singularly perturbed Chern-Simons-Schrödinger systems(P) −ε2Δu+e2|A|2+V(x)+2eA0+21+κq2Nu+q|u|p−2u=0, −ε2ΔN+κ2q2N+q1+κq2u2=0, εκ∂1A2−∂2A1=−eu2,∂1A1+∂2A2=0, εκ∂1A0=e2A2u2,εκ∂2A0=−e2A1u2, $$\begin{cases}\quad \hfill &
Deng Jin
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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
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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