Results 11 to 20 of about 131 (37)

A Liouville comparison principle for solutions of quasilinear singular parabolic inequalities

Advances in Nonlinear Analysis, 2015
We obtain a Liouville comparison principle for entire weak solutions (u,v) of quasilinear singular parabolic second-order partial differential inequalities of the form ut-A(u)-|u|q-1u≥vt-A(v)-|v|q-1v${ u_t - A(u)-|u|^{q-1}u \ge v_t - A (v)-|v|^{q-1}v ...
Kurta Vasilii V.
doaj   +1 more source

Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium [PDF]

, 2017
We consider a non-local phase transition equation set in a periodic medium and we construct solutions whose interface stays in a slab of prescribed direction and universal width.
Cozzi, Matteo, Valdinoci, Enrico
core   +3 more sources

Radial Symmetry of Entire Solutions of a Biharmonic Equation with Supercritical Exponent

Advanced Nonlinear Studies, 2019
Necessary and sufficient conditions for a regular positive entire solution u of a biharmonic ...
Guo Zongming, Wei Long
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Existence of stable solutions to $(-\Delta)^m u=e^u$ in $\mathbb{R}^N$ with $m \geq 3$ and $N > 2m$

, 2015
We consider the polyharmonic equation $(-\Delta)^m u=e^u$ in $\mathbb{R}^N$ with $m \geq 3$ and $N > 2m$. We prove the existence of many entire stable solutions.
Huang, Xia, Ye, Dong
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Classification of global solutions of a free boundary problem in the plane [PDF]

, 2022
We classify nontrivial, nonnegative, positively homogeneous solutions of the equation \begin{equation*} \Delta u=\gamma u^{\gamma-1} \end{equation*} in the plane.
Dipierro, Serena, Karakhanyan, Aram, Valdinoci, Enrico   +2 more
core  

Remarks on two fourth order elliptic problems in whole space

, 2014
We are interested in entire solutions for the semilinear biharmonic equation $\Delta^{2}u=f(u)$ in $\R^N$, where $f(u)=e^{u}$ or $-u^{-p}\ (p>0)$. For the exponential case, we prove that any classical entire solution verifies $-\Delta u>0$ without any ...
Lai, Baishun, Ye, Dong
core   +3 more sources

On s-harmonic functions on cones [PDF]

, 2019
We deal with non negative functions which are s-harmonic on a given cone of the n-dimensional Euclidean space with vertex at zero, vanishing on the complementary.
Vita, Stefano
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Properties of entire solutions of some linear PDE's [PDF]

, 2017
In this paper, there are improved sufficient conditions of boundedness of the L-index in a direction for entire solutions of some linear partial differential equations. They are new even for the one-dimensional case and L≡1.
Andriy Bandura, Oleh Skaskiv, Petro Filevych   +2 more
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Uniqueness and Liouville type results for radial solutions of some classes of k-Hessian equations [PDF]

, 2022
We establish a uniqueness theorem and a Liouville type result for positive radial solutions of some classes of nonlinear autonomous equation with the k-Hessian operator. We also give some interesting qualitative properties of solutions.
Chrouda Mohamed Ben
core  

Existence and regularity for a p-Laplacian problem in ℝN with singular, convective, and critical reaction

Advances in Nonlinear Analysis
We prove an existence result for a p-Laplacian problem set in the whole Euclidean space and exhibiting a critical term perturbed by a singular, convective reaction.
Baldelli Laura, Guarnotta Umberto
doaj   +1 more source