On a quasilinear nonhomogeneous elliptic equation with critical growth in R N
By Ó. JoãoMarcosdo, E. Medeiros, Uberlandio B. Severo. 2009
176 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/0076483657febde90cb434cf58fe15de83d9b0b5
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- G. Lu
- Nguyen Huong Lam
- Federica Sani
- Y. Yang
- Caifeng Zhang
- Nader Masmoudi
- Yong Lin
- Alexander Grigorʼyan
In Computational Theory and Mathematics
- G. Lu
- Nguyen Huong Lam
- Federica Sani
- Y. Yang
- Caifeng Zhang
- Alexander Grigorʼyan
- Yong Lin
- Nader Masmoudi
Citations in the corpus
- Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications ✩ (2012, methodology): “Now, similarly as in the Euclidean case (see [6,24,40]), we have the following lemma.”
- Existence and multiplicity of solutions to equations of $N-$Laplacian type with critical exponential growth in $\mathbb{R}^{N}$ (2011, methodology): “We also assume the following conditions on the potential as in [14–16,5]: (V 1) V is a continuous function such that V (x) V0 > 0 for all x ∈RN , we can see that E is a reflexive Banach space when endowed with the norm”
- Elliptic Equations and Systems with Subcritical and Critical Exponential Growth Without the Ambrosetti–Rabinowitz Condition (2014, background): “See also [1, 34, 35] for more details of such adaptation.”
- Sharp Adams type inequalities in Sobolev spaces Wm,nm(Rn) for arbitrary integer m (2012, unknown): “do Ó [15,16], de Figueiredo, do Ó and Ruf [13], Lam and Lu [20–22], Y.”
- Yamabe type equations on graphs (2016, background): “For related works, we refer the reader to [10,2,25,26] and the references there in.”
- N-Laplacian Equations in ℝN with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition (2013, background): “However, in the works [1, 18, 19], they need to assume a much more restrictive condition (ARR) : ∃t0 > 0, ∃M > 0 such that ∀ |u| ≥ t0, ∀x ∈ Ω, 0 < F(x, u) ≤ M | f (x, u)| .”
- Trudinger-Moser Inequalities with the Exact Growth Condition in ℝ N and Applications (2015, background): “The authors of [4, 5, 13, 14, 16, 17, 20, 30], considering a potential V satisfying (1.”