Results 121 to 130 of about 2,901 (144)

Nonexistence of Positive Solutions of PDE's with p-Laplacian

Acta Mathematica Hungarica, 2001
The authors study the problem of nonexistence of positive solutions of the equation \[ \text{div}\big(||\nabla u||^{p-2}\nabla u\big)+c(x)|u|^{p-2}u=0,\quad x\in \mathbb R^n,\; p>1, \tag{1} \] where \(C: \mathbb R^n\to \mathbb R\) is a Hölder continuous function.
Došlý, O., Mařík, R.
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Existence and Positivity of Solutions of a Fourth-Order Nonlinear PDE Describing Interface Fluctuations

Communications on Pure and Applied Mathematics, 1994
AbstractWe study the partial differential equation magnified image which arose originally as a scaling limit in the study of interface fluctuations in a certain spin system. In that application x lies in R, but here we study primarily the periodic case × R S1.
Bleher, Pavel M., Lebowitz, Joel L., Speer, Eugene R.   +2 more
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Multiple Positive Solutions for a Nonlocal Pde with Critical Sobolev-Hardy and Singular Nonlinearities Via Perturbation Method.

Fractional Calculus and Applied Analysis, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daoues, Adel, Hammami, Amani, Saoudi, Kamel   +2 more
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Qualitative properties of positive solutions to nonlinear pde and FBP

Nonlinear Analysis: Theory, Methods & Applications, 1996
The general goal of the paper is to study the qualitative properties of positive solutions of nonlinear divergence form elliptic equations \[ \nabla\cdot A(x,u,Du)+B(x,u,Du)=0,\quad x\in \Omega\subset\mathbb{R}^N,\quad N\geq 2. \] Applying the moving plane procedure of Aleksandrov, the author establishes star-shapedness of the level sets in certain ...
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Classification of positive smooth solutions to third-order PDEs involving fractional Laplacians

Pacific Journal of Mathematics, 2018
This authors study a third-order conformal invariant equation with critical nonlinearity and a third-order critical static Hartree equation with nonlocal nonlinearity. By showing the equivalence between PDE and a integral equation, using some results in [\textit{W. Chen} et al., Commun. Pure Appl. Math. 59, No.
Dai, Wei, Qin, Guolin
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Symmetry and non-existence of positive solutions for PDE system with Navier boundary conditions on a half space

Complex Variables and Elliptic Equations, 2013
In this paper, we consider the following weighted PDE system with Navier boundary conditions on a half space:1 When is any even number between and , we establish the equivalence between (1) and the following integral system2 under some very mild growth condition, where is the reflection of the point about the plane .
Dongyan Li, Pengcheng Niu, Ran Zhuo
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Existence of a positive solution to a nonlinear system of PDEs in a domain with a triple-phase boundary

2013
We consider a system of nonlinear PDEs describing the reaction-diffusion dynamics near a triple-phase boundary in the catalyst layer of hydrogen fuel cells. The system involves bulk diffusion and surface reaction-diffusion processes and is an approximation of a model with a thin layer.
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Nonlinear Pantograph-Type Diffusion PDEs: Exact Solutions and the Principle of Analogy

Mathematics, 2021
Andrei Polyanin, Vsevolod Sorokin, Polyanin Andrei D   +2 more
exaly  

Methods for Constructing Complex Solutions of Nonlinear PDEs Using Simpler Solutions

Mathematics, 2021
Andrei Polyanin, Alexander Aksenov, Polyanin Andrei D   +2 more
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A method for constructing exact solutions of nonlinear delay PDEs

Journal of Mathematical Analysis and Applications, 2021
Andrei Polyanin, Vsevolod Sorokin
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