Existence and multiplicity results for Dirichlet problems with p-Laplacian

By Q. Jiu, Jiabao Su. 2003

99 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/59f1a171b0ee68b01d75b8fc8125e012afeb76f1

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In Applied Mathematics

In Computational Theory and Mathematics

In Mathematical Physics

Citations in the corpus

Nontrivial solutions of superlinear p-Laplacian equations (2009, unknown): “Remark 2.7. (i) For related results, see [7, 9 ,12,14].”
Qualitative Phenomena for Some Classes of Quasilinear Elliptic Equations with Multiple Resonance (2014, methodology): “The nonlinear regularity theory implies that if u0 ∈ Kφ , then u0 ∈ C1 0(Ω) (see [26, 27]).”
Coercive and noncoercive nonlinear Neumann problems with indefinite potential (2016, methodology): “The result of Moroz [27] was extended to Dirichlet problems driven by the p-Laplacian with â ≡ 0, by Jiu and Su [19].”
Multiple constant sign and nodal solutions for nonlinear elliptic equations with the p-Laplacian (2008, background): “Recently multiplicity results for the p-Laplacian without any symmetry conditions on the right-hand side nonlinearity, were proved by Jiu and Su [15], Liu and Liu [17] and Liu [18].”
Existence of five nonzero solutions with exact sign for A p-laplacian equation (2009, methodology): “Recently, multiplicity results for the p-Laplacian without any symmetry condition on the continuous right hand side nonlinearity f in (P oλ) were proved by Jiu-Su [31], Liu [36], and Liu-Liu [37], using Morse theory (critical groups).”
Morse Theoretic Aspects of $p$-Laplacian Type Operators (2010, background): “, Vannella [130], Cingolani and Vannella [29, 31], Dancer and Perera [40], Liu and Su [74], Jiu and Su [58], Perera [98, 99, 100], Bartsch and Liu [15], Jiang [57], Liu and Li [75], Ayoujil and El Amrouss [10, 11, 12], Cingolani and Degiovanni [30], Guo and Liu [55], Liu and Liu [73], Degiovanni and”