Remarks on multiple nontrivial solutions for quasi-linear resonant problems

By Jiaquan Liu, Jiabao Su. 2001

125 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/cf3bdb4ac20fa55eaf43676f28807273ce849ad3

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In Applied Mathematics

In Computational Theory and Mathematics

In Mathematical Physics

Citations in the corpus

The Existence of Multiple Solutions to Quasilinear Elliptic Equations (2005, background): “In a recent paper [13] using Morse theory, Liu and Su obtained two nontrivial solutions to problem (1.”
Multiple solutions for coercive p-Laplacian equations (2006, unknown): “the existence of two nonzero solutions of the problem (1.1) has been obtained by Liu–Su [ 13, Theorem 1.1 ].”
Nontrivial Solutions for p-Laplace Equations with Right-Hand Side Having p-Linear Growth at Infinity (2005, background): “In Liu and Su (2001) the authors suppose that 1 or = 1 with some further condition, which ensures that the functional f will be bounded from below.”
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”
Existence and multiplicity results for Dirichlet problems with p-Laplacian (2003, background): “11) (See [20] for details of the proof.”
Existence of solutions to a superlinear p-Laplacian equation (2001, methodology): “To the best of our knowledge, [7] is the only work using Morse theory to obtain the solvability of p-Laplacian equations.”
Qualitative Phenomena for Some Classes of Quasilinear Elliptic Equations with Multiple Resonance (2014, methodology): “Such resonant p-Laplacian equations were studied by Jiu & Su [27], Liu & Liu [33], Liu & Su [34] and Zhang, Li, Liu & Feng [45], using the additional condition that”