The existence of a nontrivial solution to a nonlinear elliptic boundary value problem of p-Laplacian type without the Ambrosetti–Rabinowitz condition
By Gongbao Li, Caiyun Yang. 2010
166 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/36cc9aca2cccfdddf784e40f9074f1515322ada8
How researchers see this paper
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In Applied Mathematics
- Nguyen Huong Lam
- G. Lu
- Dušan D. Repovš
- Nikolaos S. Papageorgiou
- Gabriele Bonanno
- S. Marano
- Vicentiu D. Rădulescu
- V. Ruadulescu
In Computational Theory and Mathematics
- Nguyen Huong Lam
- G. Lu
- Dušan D. Repovš
- Nikolaos S. Papageorgiou
- Gabriele Bonanno
- V. Ruadulescu
- Vicentiu D. Rădulescu
- S. Marano
Citations in the corpus
- Existence and multiplicity of solutions for double‐phase Robin problems (2020, background): “Hypothesis H1(iii) is a slight generalization of a condition which can be found in Li and Yang [11].”
- Wang’s multiplicity result for superlinear (,)–equations without the Ambrosetti–Rabinowitz condition (2013, methodology): “For an overview of the relevant literature in this direction, we refer to the pioneering papers of Liu–Wang [17] and of Li–Wang–Zeng [14] (where the analogue of H(ii) in Section 3 below was introduced for p = 2), and to the more recent ones of Li–Yang [15], Liu [16] and Miyagaki–Souto [19].”
- Some recent results on the Dirichlet problem for $(p, q)$-Laplace equations (2017, background): “A deep discussion of various generalizations is made in [19] while [11, 27, 29] contain applications to (p, q)-Laplacian problems.”
- The existence of a nontrivial solution to a nonlinear elliptic problem of linking type without the Ambrosetti-Rabinowitz condition (2011, unknown): “Li and Yang in [10] studied the problem”
- N-Laplacian Equations in ℝN with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition (2013, methodology): “This condition was first introduced by Jeanjean [22], and then was used by numerous authors, for example, [38, 31, 41, 47, 49].”
- Relations between the mountain pass theorem and local minima (2012, background): “Very recently, existence results for elliptic Dirichlet problems without (AR) condition have been obtained (see, for instance, [6], [8], [10] and the references therein).”