Results 61 to 70 of about 106 (80)

Regularity of weak solutions to the 3D stationary tropical climate model

Open Mathematics
This article studies the regularity of weak solutions to the 3D stationary tropical climate model. We prove that when (U,V,θ)\left(U,V,\theta ) belongs to the homogeneous Morrey space M˙2,p(R3){\dot{M}}^{2,p}\left({{\mathbb{R}}}^{3}) with p>3p\gt 3, then
Song Huiyang, Bie Qunyi, Zhou Yanping
doaj   +1 more source

The initial-value problem for a Gardner-type equation

Advanced Nonlinear Studies
Discussed here is a regularized version(0.1)ut+ux+uux+Au2ux−uxxt=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}-{u}_{\mathit{xxt}}=0,$$ of the classical Gardner equationut+ux+uux+Au2ux+uxxx=0, $${u}_{t}+{u}_{x}+u{u}_{x}+A{u}^{2}{u}_{x}+{u}_{\mathit{xxx ...
Bona Jerry, Chen Hongqiu, Guerrero Pamela, Haidau Cristina, Pantic Sanja   +4 more
doaj   +1 more source

Nonoccurrence of Lavrentiev gap for a class of functionals with nonstandard growth

Advances in Nonlinear Analysis
We consider the functional ℱ(u)≔∫Ωf(x,Du(x))dx,{\mathcal{ {\mathcal F} }}\left(u):= \mathop{\int }\limits_{\Omega }f\left(x,Du\left(x)){\rm{d}}x, where f(x,z)f\left(x,z) satisfies a (p,q)\left(p,q)-growth condition with respect to zz and can be ...
De Filippis Filomena, Leonetti Francesco, Treu Giulia   +2 more
doaj   +1 more source

Nontrivial solutions for resonance quasilinear elliptic systems

Advances in Nonlinear Analysis
We establish an Amann-Zehnder-type result for resonance systems of quasilinear elliptic equations with homogeneous Dirichlet boundary conditions, involving nonlinearities growing asymptotically (p,q)\left(p,q)-linear at infinity.
Borgia Natalino, Cingolani Silvia, Vannella Giuseppina   +2 more
doaj   +1 more source

Some analytic results on interpolating sesqui-harmonic maps. [PDF]

Ann Mat Pura Appl, 2020
Branding V.
europepmc   +1 more source

Conformal Geometry and the Composite Membrane Problem

Analysis and Geometry in Metric Spaces, 2013
Chanillo Sagun
doaj   +1 more source

Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients. [PDF]

J Inequal Appl, 2018
Du G, Li F.
europepmc   +1 more source

Continuity up to the boundary for minimizers of the one-phase Bernoulli problem. [PDF]

Calc Var Partial Differ Equ
Fernández-Real X, Gruen F.
europepmc   +1 more source

C ∞ regularity in semilinear free boundary problems. [PDF]

Math Ann
Restrepo D, Ros-Oton X.
europepmc   +1 more source

Classification of stable solutions for non-homogeneous higher-order elliptic PDEs. [PDF]

J Inequal Appl, 2017
Harrabi A, Rahal B, Hamdani MK.
europepmc   +1 more source