Note on nontrivial solutions for a class of p-Laplacian systems
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.03.041
Abstract: Abstract We prove the existence of nonzero positive solutions of the p -Laplacian system { − Δ p u i = f i ( x , u ) in Ω , i ∈ { 1… read more here.
Keywords: nontrivial solutions; solutions class; class laplacian; note nontrivial ... See more keywords
Uniqueness for a class of p-Laplacian problems when the reaction term tends to zero at infinity
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124576
Abstract: Abstract We discuss uniqueness of positive radial solutions for a class of singular p-Laplacian problem on the exterior of a ball where the reaction term has infinite semipositone structure and decays to 0 at infinity.… read more here.
Keywords: class laplacian; infinity; class; reaction term ... See more keywords
Multiple positive solutions for a class of (2, p)-Laplacian equation
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5050030
Abstract: In this work, we investigate the (2, p)-Laplacian equation −Δu − Δpu = f(x, u) in Ω with the boundary condition u = 0 on ∂Ω, where Ω is a smooth bounded domain in RN,… read more here.
Keywords: solutions class; positive solutions; class laplacian; laplacian equation ... See more keywords
Existence of weak solutions for a class of (p,q)$(p,q)$-Laplacian systems
Sign Up to like & getrecommendations! Published in 2017 at "Boundary Value Problems"
DOI: 10.1186/s13661-017-0897-3
Abstract: The existence of weak solutions for a class of (p,q)$(p,q)$-Laplacian systems is obtained by using a new linking theorem on the product space W01,p(Ω)×W01,q(Ω)$W^{1,p}_{0}(\Omega)\times W^{1,q}_{0}(\Omega)$. read more here.
Keywords: existence weak; solutions class; class laplacian; weak solutions ... See more keywords
Existence of infinitely many homoclinic solutions for a class of p-Laplacian Hamiltonian systems
Sign Up to like & getrecommendations! Published in 2024 at "Filomat"
DOI: 10.2298/fil2432211b
Abstract: In this paper, we introduce a general and weak sufficient condition that guarantees the existence of infinitely many homoclinic solutions for a class of p-Laplacian Hamiltonian systems. Our findings are established using a new symmetric… read more here.
Keywords: homoclinic solutions; infinitely many; existence infinitely; class laplacian ... See more keywords
Uniqueness for a class p-Laplacian problems when a parameter is large
Sign Up to like & getrecommendations! Published in 2024 at "Opuscula Mathematica"
DOI: 10.7494/opmath.2024.44.1.5
Abstract: We prove uniqueness of positive solutions for the problem \[-\Delta_{p}u=\lambda f(u)\text{ in }\Omega,\ u=0\text{ on }\partial \Omega,\] where \(1\lt p\lt 2\) and \(p\) is close to 2, \(\Omega\) is bounded domain in \(\mathbb{R}^{n}\) with smooth… read more here.
Keywords: parameter large; problems parameter; laplacian problems; class laplacian ... See more keywords