A Short Proof of Hölder Continuity for Functions in DeGiorgi Classes [PDF]
Annales Academi{\ae} Scientiarum Fennic{\ae} Mathematica, Volumen
43, 2018, 931-934, 2017 The goal of this note is to give an alternative proof of local H\"older continuity for functions in DeGiorgi classes based on an idea of Moser.
arxiv +1 more source
On the existence of ground state solutions to critical growth problems nonresonant at zero [PDF]
arXiv, 2021 We prove the existence of ground state solutions to critical growth $p$-Laplacian and fractional $p$-Laplacian problems that are nonresonant at zero.
arxiv
Multiple solutions to quasi-linear elliptic Robin systems [PDF]
arXiv, 2022 Two opposite constant-sign solutions to a non-variational p-Laplacian system with Robin boundary conditions are obtained via sub-super-solution techniques. A third nontrivial one comes out by means of topological degree arguments.
arxiv
Local and global properties of p-Laplace Henon equation [PDF]
arXiv, 2022 We first give some apriori estimates of positive radial solutions of $p$-Laplace H\'enon equation. Then we study the local and global properties of those solutions. Finally, we generalize some radial results to the nonradial case.
arxiv
On the Brezis-Nirenberg problem for the $(p,q)$-Laplacian [PDF]
arXiv, 2022 We prove some existence and nonexistence results for a class of critical $(p,q)$-Laplacian problems in a bounded domain. Our results extend and complement those in the literature for model cases.
arxiv
On the absence of solutions of differential inequalities with $\infty$-Laplacian [PDF]
arXiv, 2022 For differential inequalities with the $\infty$-Laplacian in the principal part, we obtain conditions for the absence of solutions in unbounded domains. Examples are given to demonstrate the accuracy of these conditions.
arxiv
Diffeomorphic approximation of Sobolev homeomorphisms [PDF]
Arch. Rat. Mech. Anal. 201 (2011), no. 3, 1047-1067, 2010 Every homeomorphism h : X -> Y between planar open sets that belongs to the Sobolev class W^{1,p}(X,Y), 1
arxiv +1 more source
On the existence of weak solutions of a thermistor system with p-Laplacian type equation: the unsteady case [PDF]
arXiv, 2016 We consider an unsteady thermistor system with a p-Laplace type equation for the electrostatic potential.
arxiv
Multiplicity of positive solutions for a critical quasilinear Neumann problem [PDF]
arXiv, 2016 We establish the multiplicity of positive solutions to a quasilinear Neumann problem in expanding balls and hemispheres with critical exponent in the boundary condition.
arxiv
A classification result for the quasi-linear Liouville equation [PDF]
arXiv, 2016 Entire solutions of the $n-$Laplace Liouville equation in $\mathbb{R}^n$ with finite mass are completely classified.
arxiv