Note on nontrivial solutions for a class of p-Laplacian systems
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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
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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
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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
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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