Results 31 to 40 of about 350 (69)

Nonlinear singular problems with indefinite potential term

open access: yes, 2020
We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator plus an indefinite potential. In the reaction we have the competing effects of a singular term and of concave and convex nonlinearities.
Papageorgiou, Nikolaos S.   +2 more
core   +2 more sources

Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries [PDF]

open access: yes, 2018
In this work we study the behavior of a family of solutions of a semilinear elliptic equation, with homogeneous Neumann boundary condition, posed in a two-dimensional oscillating thin region with reaction terms concentrated in a neighborhood of the ...
Arrieta, José M.   +2 more
core   +3 more sources

Spacetime singularity, singular bounds and compactness for solutions of the Poisson's equation

open access: yes, 2015
CarlosCesar ArandaBlue Angel Navire research laboratory,Rue Eddy 113 Gatineau, QC, Canadacarloscesar.aranda@gmail.comABSTRACTA black hole is a spacetime region in whose interior lies a structure known as a space-time singularity whose scientific ...
C. Aranda
semanticscholar   +1 more source

The existence of positive solutions for Kirchhoff-type problems via the sub-supersolution method

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
In this paper we discuss the existence of a solution between wellordered subsolution and supersolution of the Kirchhoff equation. Using the sub-supersolution method together with a Rabinowitz-type global bifurcation theory, we establish the existence of ...
Yan Baoqiang   +2 more
doaj   +1 more source

On double phase Kirchhoff problems with singular nonlinearity

open access: yesAdvances in Nonlinear Analysis, 2023
In this paper, we study multiplicity results for double phase problems of Kirchhoff type with right-hand sides that include a parametric singular term and a nonlinear term of subcritical growth.
Arora Rakesh   +3 more
doaj   +1 more source

An elliptic system with logarithmic nonlinearity

open access: yesAdvances in Nonlinear Analysis, 2017
In the present paper, we study the existence of solutions for some classes of singular systems involving the Δp⁢(x){\Delta_{p(x)}} and Δq⁢(x){\Delta_{q(x)}} Laplacian operators. The approach is based on bifurcation theory and the sub-supersolution method
Alves Claudianor   +2 more
doaj   +1 more source

A semilinear problem with a W^{1,1}_0 solution

open access: yes, 2012
We study a degenerate elliptic equation, proving the existence of a W^{1,1}_0 distributional ...
Boccardo, Lucio   +2 more
core   +2 more sources

Singular quasilinear elliptic systems in $\mathbb{R}^N$

open access: yes, 2018
The existence of positive weak solutions to a singular quasilinear elliptic system in the whole space is established via suitable a priori estimates and Schauder's fixed point ...
Marano, S. A., Marino, G., Moussaoui, A.
core   +1 more source

Multiple Aharonov--Bohm eigenvalues: the case of the first eigenvalue on the disk

open access: yes, 2018
It is known that the first eigenvalue for Aharonov--Bohm operators with half-integer circulation in the unit disk is double if the potential's pole is located at the origin. We prove that in fact it is simple as the pole $a\neq 0$
Abatangelo, Laura
core   +1 more source

Structure Results for Semilinear Elliptic Equations with Hardy Potentials

open access: yesAdvanced Nonlinear Studies, 2018
We prove structure results for the radial solutions of the semilinear ...
Franca Matteo, Garrione Maurizio
doaj   +1 more source

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