Results 41 to 50 of about 440 (53)

Boundary regularity, Pohozaev identities, and nonexistence results

, 2017
In this expository paper we survey some recent results on Dirichlet problems of the form $Lu=f(x,u)$ in $\Omega$, $u\equiv0$ in $\mathbb R^n\backslash\Omega$. We first discuss in detail the boundary regularity of solutions, stating the main known results
Ros-Oton, Xavier
core   +1 more source

Solution of the inverse spectral problem for a convolution integro-differential operator with Robin boundary conditions

, 2015
The operator of double differentiation on a finite interval with Robin boundary conditions perturbed by the composition of a Volterra convolution operator and the differentiation one is considered.
Buterin, S. A., Rivero, A. E. Choque
core   +1 more source

Standing waves for Choquard equation with noncritical rotation

Advances in Nonlinear Analysis
We investigate the existence and stability of standing waves with prescribed mass c>0c\gt 0 for Choquard equation with noncritical rotation in Bose-Einstein condensation. Then, we consider the mass collapse behavior of standing waves, the ratio of energy
Mao Yicen, Yang Jie, Su Yu
doaj   +1 more source

Concentrating solutions for a fractional Kirchhoff equation with critical growth

, 2019
In this paper we consider the following class of fractional Kirchhoff equations with critical growth: \begin{equation*} \left\{ \begin{array}{ll} \left(\varepsilon^{2s}a+\varepsilon^{4s-3}b\int_{\mathbb{R}^{3}}|(-\Delta)^{\frac{s}{2}}u|^{2}dx\right ...
Ambrosio, Vincenzo
core   +1 more source

On the p-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity

Demonstratio Mathematica
In this article, we deal with the following pp-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity: M([u]s,Ap)(−Δ)p,Asu+V(x)∣u∣p−2u=λ∫RN∣u∣pμ,s*∣x−y∣μdy∣u∣pμ,s*−2u+k∣u∣q−2u,x∈RN,M({\left[u]}
Zhao Min, Song Yueqiang, Repovš Dušan D.   +2 more
doaj   +1 more source

An analysis on the approximate controllability of neutral impulsive stochastic integrodifferential inclusions via resolvent operators. [PDF]

Heliyon, 2023
Ma YK, Pradeesh J, Shukla A, Vijayakumar V, Jothimani K.   +4 more
europepmc   +1 more source

Perturbations of Functional Inequalities for L\'evy Type Dirichlet Forms [PDF]

, 2015
Perturbations of super Poincar\'e and weak Poincar\'e inequalities for L\'evy type Dirichlet forms are studied. When the range of jumps is finite our results are natural extensions to the corresponding ones derived earlier for diffusion processes; and we
Chen, Xin, Wang, Feng-Yu, Wang, Jian
core  

A nonlinear partial integro-differential equation from mathematical finance [PDF]

We study a nonlinear partial integrodifferential equation arising in the calibration of stochastic volatility models to a market of vanilla options.
Frédéric Abergel, Rémi Tachet
core  

Nonlocal and local models for taxis in cell migration: a rigorous limit procedure. [PDF]

J Math Biol, 2020
Eckardt M, Painter KJ, Surulescu C, Zhigun A.   +3 more
europepmc   +1 more source

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

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