Multiple positive solutions of singular-Laplacian problems by variational methods

By Kanishka Perera, Zhitao Zhang. 2005

55 citations recorded by the source corpus.

We obtain multiple positive solutions of singular-Laplacian problems using variational methods. The techniques are applicable to other types of singular problems as well.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/9864d0e38ca439c00e5425dd8adb489ad9aa2889

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In Applied Mathematics

In Computational Theory and Mathematics

Citations in the corpus

Existence and multiplicity of positive solutions for singular quasilinear problems (2006, methodology): “The proofs of Theorems 1.1 - 1.3 presented here rely heavily on perturbation arguments and on the variational method employed by Perera and Zhang [ 15 ], where the existence and multiplicity of solutions for Problem (1.1) is proved under stronger versions of (H), (f1) and (f2).”
A bifurcation-type theorem for singular nonlinear elliptic equations (2015, unknown): “For singular equations, such problems were studied by Coclite-Palmieri [4], Crandall-Rabinowitz-Tartar [5], Hirano-Saccon-Shioji [11], LairShaker [14], Lazer-MacKenna [15], Sun-Wu-Long [21] for p = 2 (semilinear equations) and Giacomoni-Schindler-Takac [8], Perera-Zhang [19] for p = 2 (nonlinear equ”
Positive solutions of the p-Laplace equation with singular nonlinearity (2009, methodology): “It then follows (see [29]) from this that ∫”
Positive solutions for nonlinear parametric singular Dirichlet problems (2018, methodology): “For nonlinear equations driven by the p-Laplacian, we mention the works of Giacomoni, Schindler & Takač [7], Papageorgiou, Rădulescu & Repovš [16, 17], Papageorgiou & Smyrlis [18], Perera & Zhang [19].”
Positive solutions for nonlinear Neumann problems with singular terms and convection (2020, methodology): “For singular problems, we mention the works of Giacomoni, Schindler & Takac [7], Hirano, Saccon & Shioji [1], Papageorgiou & Rădulescu [16], Papageorgiou, Rădulescu & Repovš [19, 21], Papageorgiou & Smyrlis [22, 23], Perera & Zhang [24], and Su, Wu & Long [27].”
Positive solutions for nonlinear singular elliptic equations of p-Laplacian type with dependence on the gradient (2019, background): “[13], whereas condition H(g)wasdealtwith inFaraci andPuglisi [14] andgoes back toPerera andSilva [36] and Perera and Zhang [37].”