Existence and Multiplicity Results for an Elliptic Problem Involving Cylindrical Weights and a Homogeneous Term $$\mu $$μ
Sign Up to like & getrecommendations! Published in 2019 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-019-1317-y
Abstract: We consider the following elliptic problem $$\begin{aligned} \left\{ \begin{array}{lll} -{\text {div}}\left( \dfrac{\left| \nabla u\right| ^{p-2} \nabla u}{\left| y\right| ^{ap}}\right) = \mu \dfrac{\left| u\right| ^{p-2} u}{\left| y\right| ^{p(a+1)}}+ h(x) \dfrac{\left| u\right| ^{q-2} u}{\left| y\right| ^{bq}} +… read more here.
Keywords: left right; dfrac left; elliptic problem; problem ... See more keywords
Existence and multiplicity results for a semilinear elliptic problem
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.03.028
Abstract: Abstract In this paper we establish sufficient conditions for an asymptotically linear elliptic boundary value problem to have at least five solutions when the range of the derivative of the nonlinearity includes at least the… read more here.
Keywords: results semilinear; elliptic problem; problem; semilinear elliptic ... See more keywords
Large solutions for a nonhomogeneous quasilinear elliptic problem
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DOI: 10.1016/j.nonrwa.2017.11.001
Abstract: Abstract This paper focuses on a nonhomogeneous quasilinear elliptic boundary blow up problem △ p u = a ( x ) f ( u ) + h ( x ) in Ω , u |… read more here.
Keywords: nonhomogeneous quasilinear; elliptic problem; solutions nonhomogeneous; quasilinear elliptic ... See more keywords
An elliptic problem with strongly nonlinear interface condition
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DOI: 10.1080/00036811.2018.1504026
Abstract: ABSTRACT We consider a system of partial differential equations arising in the modelling of the electrochemical processes in Li-ion batteries. In this simplification, it consists of two elliptic equations in two domains separated by an… read more here.
Keywords: elliptic problem; nonlinear interface; strongly nonlinear; condition ... See more keywords
Homogenization of a quasilinear elliptic problem in domains with small holes
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DOI: 10.1080/00036811.2021.1884226
Abstract: This work aims to provide the asymptotic behavior of some class of quasilinear problems posed in a domain with small holes in R N for N>2, as ϵ → 0 . A nonlinear Robin boundary… read more here.
Keywords: elliptic problem; domains small; homogenization quasilinear; small holes ... See more keywords
Variational Approaches to a Discrete Elliptic Problem with a Weight
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DOI: 10.1080/01630563.2023.2208868
Abstract: Abstract In this article, we are concerned with the existence of at least one, two and three distinct solutions for discrete boundary value problems driven by the Laplacian. The proof of the main result depends… read more here.
Keywords: problem; problem weight; elliptic problem; approaches discrete ... See more keywords
Existence and multiplicity of solutions for a supercritical elliptic problem in unbounded cylinders
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DOI: 10.1186/s13661-017-0783-z
Abstract: AbstractWe consider the following elliptic problem: {−div(|∇u|p−2∇u|y|ap)=|u|q−2u|y|bq+f(x)in Ω,u=0on ∂Ω,$$ \textstyle\begin{cases} -\operatorname{div} ( \frac{ \vert \nabla u \vert ^{p-2} \nabla u}{ \vert y \vert ^{ap}} ) = \frac { \vert u \vert ^{q-2} u}{ \vert y \vert ^{bq}}… read more here.
Keywords: multiplicity solutions; existence multiplicity; elliptic problem; vert ... See more keywords
A degenerate elliptic problem from subsonic-sonic flows in convergent nozzles
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DOI: 10.3934/cpaa.2021070
Abstract: This paper concerns continuous subsonic-sonic potential flows in a two dimensional convergent nozzle, which is governed by a free boundary problem of a quasilinear degenerate elliptic equation. It is shown that for a given nozzle… read more here.
Keywords: elliptic problem; problem subsonic; subsonic sonic; degenerate elliptic ... See more keywords