Multiple solutions for a class of fractional quasi-linear equations with critical exponential growth in ℝN

Q Li, Z Yang - Complex Variables and Elliptic Equations, 2016 - Taylor & Francis
This paper deals with a class of non-local equations involving the fractional p-Laplacian,
where the non-linear term is assumed to have critical exponential growth. More specifically …

Multiple solutions for N-Kirchhoff type problems with critical exponential growth in RN

Q Li, Z Yang - Nonlinear Analysis: Theory, Methods & Applications, 2015 - Elsevier
In this paper, we consider a class of nonlocal N-Kirchhoff type problems involving a
nonlinearity term having critical exponential growth. By applying variational methods …

Multiple solutions for N-Kirchhoff type problem in RN

Y Gao, L Liu - Applied Mathematics Letters, 2022 - Elsevier
Multiple solutions for N-Kirchhoff type problem in RN - ScienceDirect Skip to main contentSkip
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The Nehari manifold approach for N-Laplace equation with singular and exponential nonlinearities in ℝN

S Goyal, K Sreenadh - Communications in Contemporary …, 2015 - World Scientific
In this article, we study the existence and multiplicity of solutions of the singular N-Laplacian
equation: where N≥ 2, 0≤ q< N-1< p+ 1, β∈[0, N), λ> 0, and h≥ 0 in ℝN. Using the nature …

Admissible solutions to Hessian equations with exponential growth

JF de Oliveira, P Ubilla - Revista Matemática Iberoamericana, 2020 - ems.press
Admissible solutions to Hessian equations with exponential growth Page 1 Rev. Mat. Iberoam.
37 (2021), no. 2, 749–773 doi 10.4171/rmi/1215 c European Mathematical Society Admissible …

On a class of nonhomogeneous elliptic equation on compact Riemannian manifold without boundary

M de Souza - Mediterranean Journal of Mathematics, 2018 - Springer
Let (M, g) be a compact Riemannian manifold of dimension n (n ≥ 2)(n≥ 2) without
boundary. In this paper, a fixed point result and a version of the Trudinger–Moser inequality …

Infinitely Many Solutions for Kirchhoff Equation with Critical Exponential Growth in

C Chen - Mediterranean Journal of Mathematics, 2018 - Springer
In this paper, we study the existence of infinitely many solutions to NN-Kirchhoff type
equation 0.1 &\left (a+ μ\left (∫ _ R^ N (| ∇ u|^ N+ V (x)| u|^ N) dx\right) …

[PDF][PDF] Existence and multiplicity of solutions for a singular semilinear elliptic problem in R2

M De Souza - Electronic Journal of Differential Equations, 2011 - ejde.math.txstate.edu
Using minimax methods we study the existence and multiplicity of nontrivial solutions for a
singular class of semilinear elliptic nonhomogeneous equation where the potentials can …

Unbalanced fractional elliptic problems with exponential nonlinearity: subcritical and critical cases

D Kumar, VD Rădulescu, K Sreenadh - 2022 - projecteuclid.org
This paper deals with the qualitative analysis of solutions to the following (p,q)-fractional
equation:(-Δ)^ s_1 _ p u+ (-Δ)^ s_2 _ q u+ V (x)\big (| u|^ p-2 u+| u|^ q-2 u\big)= K (x) f (u)| x …

Concentration-compactness principle for an inequality by D. Adams

JM do O, AC Macedo - Calculus of Variations and Partial Differential …, 2014 - Springer
This paper brings a generalization of the Lions concentration–compactness principle to the
Sobolev space W_0^ m, p (Ω) W 0 m, p (Ω) when mp= n mp= n and Ω ⊂ R^ n\,(n ≥ 2) Ω⊂ R …