Uniqueness of solutions to singular p-Laplacian equations with subcritical nonlinearity
Advances in Nonlinear Analysis, 2017 We present a geometric approach to the study of quasilinear elliptic p-Laplacian problems on a ball in ℝn${\mathbb{R}^{n}}$ using techniques from dynamical systems.
Maultsby Bevin
doaj +1 more source
The trace space of anisotropic least gradient functions depends on the anisotropy. [PDF]
Math Ann, 2023 Górny W.
europepmc +1 more source
Mass and Extremals Associated with the Hardy–Schrödinger Operator on Hyperbolic Space
Advanced Nonlinear Studies, 2018 We consider the Hardy–Schrödinger operator Lγ:=-Δ𝔹n-γV2{L_{\gamma}:=-\Delta_{\mathbb{B}^{n}}-\gamma{V_{2}}} on the Poincaré ball model of the hyperbolic space 𝔹n{\mathbb{B}^{n}} (n≥3{n\geq 3}).
Chan Hardy +4 more
doaj +1 more source
Existence of solutions for a class of singular elliptic systems with convection term [PDF]
arXiv, 2013 We show the existence of positive solutions for a class of singular elliptic systems with convection term. The approach combines pseudomonotone operator theory, sub and supersolution method and perturbation arguments involving singular terms.
arxiv
Analysis of positive solutions for classes of quasilinear singular problems on exterior domains
Advances in Nonlinear Analysis, 2017 We consider the ...
Chhetri Maya +2 more
doaj +1 more source
$p$-Laplace equations with singular weights [PDF]
arXiv, 2013 We study a class of $p$-Laplacian Dirichlet problems with weights that are possibly singular on the boundary of the domain, and obtain nontrivial solutions 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.
arxiv
Advanced Nonlinear Studies, 2017 In the present paper we study the Dirichlet problem for an equation involving the 1-Laplacian and a total variation term as reaction.We prove a strong multiplicity result.
Abdellaoui Boumediene +2 more
doaj +1 more source
Unique continuation properties for relativistic Schrödinger operators with a singular potential [PDF]
arXiv, 2013 Asymptotics of solutions to relativistic fractional elliptic equations with Hardy type potentials is established in this paper. As a consequence, unique continuation properties are obtained.
arxiv
On the moving plane method for boundary blow-up solutions to semilinear elliptic equations
Advances in Nonlinear Analysis, 2018 We consider weak solutions to -Δu=f(u){-\Delta u=f(u)} on Ω1∖Ω0{\Omega_{1}\setminus\Omega_{0}}, with u=c≥0{u=c\geq 0} in ∂Ω1{\partial\Omega_{1}} and u=+∞{u=+\infty} on ∂Ω0{\partial\Omega_{0}}, and we prove monotonicity properties of the solutions via
Canino Annamaria +2 more
doaj +1 more source
Sharp essential self-adjointness of relativistic Schrödinger operators with a singular potential [PDF]
arXiv, 2014 This paper is devoted to the study of essential self-adjointness of a relativistic Schr\"{o}dinger operator with a singular homogeneous potential. From an explicit condition on the coefficient of the singular term, we provide a sufficient and necessary condition for essential self-adjointness.
arxiv