N-Laplacian Equations in ℝN with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition
By Nguyen Huong Lam, G. Lu. 2013
69 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/0023e80c319cadce5d1f6f69f74f39a7a8bf3b4f
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In Applied Mathematics
In Computational Theory and Mathematics
Citations in the corpus
- Trudinger–Moser Inequalities in Fractional Sobolev–Slobodeckij Spaces and Multiplicity of Weak Solutions to the Fractional-Laplacian Equation (2018, methodology): “In [32, 33], Lam and Lu used aweaker condition to replace the Ambrosetti–Rabinowitz condition and got existence results for N-Laplacian and polyharmonic operators without the (AR) condition.”
- Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications ✩ (2012, unknown): “Existence of solutions to polyharmonic operators and N -Laplacian equations of exponential growth without satisfying the standard Ambrosetti–Rabinowitz condition have been studied by the authors in [41] [44] [45].”