Results 41 to 50 of about 778 (84)

Existence and multiplicity of solutions for a new p(x)-Kirchhoff equation

Advances in Nonlinear Analysis
This article is devoted to study a class of new p(x)p\left(x)-Kirchhoff equation. By means of perturbation technique, variational method, and the method invariant sets for the descending flow, the existence and multiplicity of solutions to this problem ...
Chu Changmu, Liu Jiaquan
doaj   +1 more source

A note on regularity of solutions to degenerate elliptic equations of Caffarelli-Kohn-Nirenberg type [PDF]

arXiv, 2003
We establish Holder continuity of weak solutions to degenerate critical elliptic equations of Caffarelli-Kohn-Nirenberg type.
arxiv  

Global and blow up solutions to cross diffusion systems

Advances in Nonlinear Analysis, 2015
Necessary and sufficient conditions for global existence of classical solutions to a class of cross diffusion systems on n-dimensional domains are given. Examples of blow up solutions are also presented.
Ahmad Shair, Le Dung
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On Removable Singularities of Solutions of Higher-Order Differential Inequalities

Advanced Nonlinear Studies, 2020
We obtain sufficient conditions for solutions of the mth-order differential ...
Kon’kov A. A., Shishkov A. E.
doaj   +1 more source

First eigenvalue and Maximum principle for fully nonlinear singular operators [PDF]

arXiv, 2004
Through the Maximum principle we define the principal eigenvalue for a class of fully-nonlinear operators that are the non-variational equivalent of the p-Laplacian. We also obtain some a priori Holder estimates for non-negative solutions below that eigenvalue.
arxiv  

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
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On the fundamental eigenvalue ratio of the p-Laplacian [PDF]

arXiv, 2004
It is shown that the fundamental eigenvalue ratio \lambda_2 / \lambda_1 of the p-Laplacian is bounded by a quantity depending only on the dimension N and p.
arxiv  

Normalized solutions for Sobolev critical fractional Schrödinger equation

Advances in Nonlinear Analysis
In the present study, we investigate the existence of the normalized solutions to Sobolev critical fractional Schrödinger equation: (−Δ)su+λu=f(u)+∣u∣2s*−2u,inRN,(Pm)∫RN∣u∣2dx=m2,\hspace{14em}\left\{\begin{array}{ll}{\left(-\Delta )}^{s}u+\lambda u=f ...
Li Quanqing, Nie Jianjun, Wang Wenbo, Zhou Jianwen   +3 more
doaj   +1 more source

Existence of a weak bounded solution for nonlinear degenerate elliptic equations in Musielak-Orlicz spaces

Moroccan Journal of Pure and Applied Analysis, 2020
In this paper, we show the existence of solutions for the nonlinear elliptic equations of the ...
Bourahma M., Bennouna J., El Moumni M.
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An example of $\infty$-harmonic function, which is not $C^2$ on a dense subset [PDF]

arXiv, 2004
We show that for certain boundary values McShane-Whitney's minimal-extension-like function is $\infty$-harmonic near the boundary and is not $C^2$ on a dense subset.
arxiv