Results 11 to 20 of about 479 (25)
Symmetry results for $p$-Laplacian systems involving a first order term [PDF]
arXiv, 2020 In this paper we obtain symmetry and monotonicity results for positive solutions to some $p$-Laplacian cooperative systems in bounded domains involving first order terms and under zero Dirichlet boundary condition.
arxiv
The Expected Time to End the Tug-of-War in a Wedge [PDF]
arXiv, 2010 Using a solution of a nonhomogeneous partial differential equation involving the p- Laplacian, we study the finiteness of the expected time to end the tug-of-war in a wedge.
arxiv
Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side [PDF]
arXiv, 2020 We show that bounded solutions of the quasilinear elliptic equation $\Delta_{p(x)} u=g+div(\textbf{F})$ are locally H\"{o}lder continuous provided that the functions $g$ and $\textbf{F}$ are in suitable Lebesgue spaces.
arxiv
The p-Laplacian with respect to measures [PDF]
arXiv, 2011 We introduce a definition for the $p$-Laplace operator on positive and finite Borel measures that satisfy an Adams-type embedding condition.
arxiv
Multiplicity of 1D-concentrating positive solutions to the Dirichlet problem for equation with $p$-Laplacian [PDF]
arXiv, 2012 We prove the multiplicity of spike-layer type solutions to the Dirichlet problem for the equation $-\Delta_p u = u^{q-1}$ in expanding annuli.
arxiv
Computing the first eigenpair for problems with variable exponents [PDF]
arXiv, 2013 We compute the first eigenpair for variable exponent eigenvalue problems. We compare the homogeneous definition of first eigenvalue with previous nonhomogeneous notions in the literature.
arxiv
The Liouville theorems for elliptic equations with nonstandard growth [PDF]
arXiv, 2014 We study solutions and supersolutions of homogeneous and nonhomogeneous $\mathcal{A}$-harmonic equations with nonstandard growth in $\mathbb{R}^n$. Various Liouville-type theorems and nonexistence results are proved. The discussion is illustrated by a number of examples.
arxiv
Positive solutions for a class of quasilinear singular elliptic systems [PDF]
arXiv, 2016 In this paper we establish the existence of two positive solutions for a class of quasilinear singular elliptic systems. The main tools are sub and supersolution method and Leray-Schauder Topological degree.
arxiv
Existence results for double-phase problems via Morse theory [PDF]
arXiv, 2016 We obtain nontrivial solutions for a class of double-phase problems using Morse theory. In the absence of a direct sum decomposition, we use a cohomological local splitting to get an estimate of the critical groups at zero.
arxiv