Results 71 to 80 of about 145 (131)

Solutions to an anisotropic system via sub-supersolution method and Mountain Pass Theorem

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
Summary: We use sub-supersolution method and Mountain Pass Theorem in order to show existence and multiplicity of solution for quasilinear system given by \[-\Big[\displaystyle\sum^{N}_{i=1}\frac{\partial}{\partial x_{i}}\Big \vert \frac{\partial u}{\partial x_{i}} \Big\vert^{p_{i}-2}\frac{\partial u}{\partial x_{i}}\Big] = a_{1}(x)u+ F_{u}(x,u,v) \,\,\
Figueiredo, Giovany, Silva, Julio
openaire   +3 more sources

Harmonic balls in Liouville quantum gravity

open access: yesProceedings of the London Mathematical Society, Volume 130, Issue 1, January 2025.
Abstract Harmonic balls are domains that satisfy the mean‐value property for harmonic functions. We establish the existence and uniqueness of harmonic balls on Liouville quantum gravity (LQG) surfaces using the obstacle problem formulation of Hele–Shaw flow.
Ahmed Bou‐Rabee, Ewain Gwynne
wiley   +1 more source

Existence and comparison results for variational-hemivariational inequalities

open access: yesJournal of Inequalities and Applications, 2005
We consider a prototype of quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional.
Carl S
doaj  

Existence of multiple positive solutions to integral boundary value systems with boundary multiparameters

open access: yesBoundary Value Problems, 2018
We establish the existence, nonexistence, and multiplicity of positive solutions to semilinear elliptic systems with integral boundary conditions when positive multiparameters vary on the boundary.
Eunkyung Ko, Eun Kyoung Lee
doaj   +1 more source

Double phase elliptic inclusions with convection and logarithmic perturbed terms

open access: yesBulletin of Mathematical Sciences
This paper deals with a new double phase elliptic inclusion (DPEI) formulated by a double phase partial differential operator with logarithmic perturbation, a general multivalued convection term defined in the domain and a general multivalued term ...
Shengda Zeng   +2 more
doaj   +1 more source

Existence results for a class of Kirchhoff type systems with Caffarelli-Kohn-Nirenberg exponents

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
This paper is concerned with the existence of positive solutions for a class of infinite semipositone kirchhoff type systems with singular weights. Our aim is to establish the existence of positive solution for λ large enough.
Afrouzi G. A., Zahmatkesh H., Shakeri S.
doaj   +1 more source

Multiple solutions of nonlinear fractional elliptic equations via Morse theory

open access: yesElectronic Journal of Differential Equations, 2017
This article concerns the existence and multiplicity of weak solutions of the nonlinear fractional elliptic problem. We extend some well known results of semilinear Laplacian equations to the nonlocal fractional setting. Using the variational methods
Wei Qi, Lin Zhao, Xingjie Yan
doaj  

Existence and multiplicity of solutions to superlinear periodic parabolic problems

open access: yesElectronic Journal of Differential Equations, 2018
Let $\Omega\subset\mathbb{R}^{N}$ be a smooth bounded domain and let a,b,c be three (possibly discontinuous and unbounded) T-periodic functions with $c\geq0$.
Tomas Godoy, Uriel Kaufmann
doaj  

The sub-supersolution method for Kirchhoff systems: applications

open access: yes, 2016
In this paper we prove that the sub-supersolution method works for general Kirchhoff systems. We apply the cited method to prove the existence of positive solutions for some specific models.
Malcher Figueiredo, Giovany de Jesus   +7 more
openaire   +2 more sources

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