Results 21 to 30 of about 341 (48)

A symmetry result for cooperative elliptic systems with singularities [PDF]

, 2019
We obtain symmetry results for solutions of an elliptic system of equation possessing a cooperative structure. The domain in which the problem is set may possess "holes" or "small vacancies" (measured in terms of capacity) along which the solution may ...
Biagi, Stefano, Valdinoci, Enrico, Vecchi, Eugenio   +2 more
core   +2 more sources

Initial boundary value problems for some damped nonlinear conservation laws [PDF]

, 2015
In this paper, we study the non-negative solutions of initial boundary value problems for some damped nonlinear conservation laws on the half line modelled by first order nonlinear hyperbolic PDEs.
Yadav, Manoj
core   +3 more sources

Regularity and Classification of Solutions to Fractional-Order Systems With Hartree-Type Nonlinearities

Abstract and Applied Analysis
MSC2020 Classification: 35R11, 35B06 ...
Yu-Cheng An, Guai-Qi Tian
doaj   +1 more source

Lie Symmetry Analysis of a Nonlinear Black–Scholes Equation in Illiquid Markets

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
We have conducted comprehensive Lie symmetry analysis of a nonlinear Black–Scholes equation that arises in illiquid markets. The equation incorporates nonlinearities arising from market constraints, such as transaction costs and liquidity effects.
Winter Sinkala, Theodore Simos
wiley   +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

Sliding methods for dual fractional nonlinear divergence type parabolic equations and the Gibbons’ conjecture

Advanced Nonlinear Studies
In this paper, we consider the general dual fractional parabolic problem ∂tαu(x,t)+Lu(x,t)=f(t,u(x,t))inRn×R. ${\partial }_{t}^{\alpha }u\left(x,t\right)+\mathcal{L}u\left(x,t\right)=f\left(t,u\left(x,t\right)\right) \text{in} {\mathbb{R}}^{n}{\times ...
Guo Yahong, Ma Lingwei, Zhang Zhenqiu
doaj   +1 more source

Radial and cylindrical symmetry of solutions to the Cahn-Hilliard equation

, 2019
The paper is devoted to the classification of entire solutions to the Cahn-Hilliard equation $-\Delta u = u-u^3-\delta$ in $\R^N$, with particular interest in those solutions whose nodal set is either bounded or contained in a cylinder.
Rizzi, Matteo
core   +1 more source

Monotonicity and symmetry of singular solutions to quasilinear problems

, 2018
We consider singular solutions to quasilinear elliptic equations under zero Dirichlet boundary condition. Under suitable assumptions on the nonlinearity we deduce symmetry and monotonicity properties of positive solutions via an improved moving plane ...
Esposito, Francesco, Montoro, Luigi, Sciunzi, Berardino   +2 more
core   +2 more sources

Strong Comparison Principle for the Fractional p-Laplacian and Applications to Starshaped Rings

Advanced Nonlinear Studies, 2018
In the following, we show the strong comparison principle for the fractional p-Laplacian, i.e.
Jarohs Sven
doaj   +1 more source

Classical Lie symmetries and reductions of a nonisospectral Lax pair

, 2011
The classical Lie method is applied to a nonisospectral problem associated with a system of partial differential equations in 2+1 dimensions (Maccari A, J. Math. Phys. 39, (1998), 6547-6551).
Ablowitz M. J., Calogero F., Estévez P. G., Estévez P. G., Estévez P. G., Hirota R., Legaré M., Maccari A., Olver P. J., Painlevé P., Weiss J.   +10 more
core   +1 more source