scholarly journals Hamiltonian elliptic systems with critical polynomial-exponential growth

2022 ◽  
Vol 214 ◽  
pp. 112579
Author(s):  
João Marcos do Ó ◽  
Abiel Macedo ◽  
Bruno Ribeiro
Keyword(s):  
Exponential Growth ◽  
Elliptic Systems

scholarly journals Hamiltonian elliptic systems in dimension two with arbitrary and double exponential growth conditions

2021 ◽  
Vol 41 (1) ◽  
pp. 277-296
Author(s):  
João Marcos do Ó ◽  
◽  
Bruno Ribeiro ◽  
Bernhard Ruf ◽  
Keyword(s):  
Exponential Growth ◽  
Elliptic Systems ◽  
Growth Conditions ◽  
Double Exponential

Singular Hamiltonian elliptic systems with critical exponential growth in dimension two

2018 ◽  
Vol 292 (1) ◽  
pp. 137-158
Author(s):  
Sergio H. Monari Soares ◽  
Yony R. Santaria Leuyacc
Keyword(s):  
Exponential Growth ◽  
Elliptic Systems ◽  
Critical Exponential Growth

scholarly journals Ground state solutions for a Kirchhoff type elliptic systems involving critical exponential growth nonlinearities

2021 ◽  
Author(s):  
Shengbing Deng ◽  
Tingting Huang
Keyword(s):  
Ground State ◽  
Exponential Growth ◽  
Elliptic Systems ◽  
Ground State Solution ◽  
State Solution ◽  
Ground State Solutions ◽  
Kirchhoff Type ◽  
Critical Exponential Growth ◽  
Growth Nonlinearities

The aim of this paper is to study the ground state solution for a Kirchhoff type elliptic systems without the Ambrosetti-Rabinowitz condition.

Hamiltonian elliptic systems in dimension two with potentials which can vanish at infinity

2018 ◽  
Vol 20 (08) ◽  
pp. 1750053
Author(s):  
Sérgio H. Monari Soares ◽  
Yony R. Santaria Leuyacc
Keyword(s):  
Elliptic System ◽  
Exponential Growth ◽  
Elliptic Systems ◽  
Positive Function ◽  
Linking Theorem ◽  
Nontrivial Solutions ◽  
Finite Dimensional Approximation ◽  
Finite Dimensional ◽  
Dimensional Approximation ◽  
Hamiltonian Elliptic System

We will focus on the existence of nontrivial solutions to the following Hamiltonian elliptic system [Formula: see text] where [Formula: see text] is a positive function which can vanish at infinity and be unbounded from above and [Formula: see text] and [Formula: see text] have exponential growth range. The proof involves a truncation argument combined with the linking theorem and a finite-dimensional approximation.

scholarly journals (p,Q) systems with critical singular exponential nonlinearities in the Heisenberg group

2020 ◽  
Vol 18 (1) ◽  
pp. 1423-1439
Author(s):  
Patrizia Pucci ◽  
Letizia Temperini
Keyword(s):  
Heisenberg Group ◽  
Exponential Growth ◽  
Existence Of Solutions ◽  
Elliptic Systems ◽  
Singular Behavior ◽  
Actual System ◽  
Exponential Term ◽  
Nonnegative Solutions ◽  
Critical Exponential Growth

Abstract The paper deals with the existence of solutions for (p,Q) coupled elliptic systems in the Heisenberg group, with critical exponential growth at infinity and singular behavior at the origin. We derive existence of nonnegative solutions with both components nontrivial and different, that is solving an actual system, which does not reduce into an equation. The main features and novelties of the paper are the presence of a general coupled critical exponential term of the Trudinger-Moser type and the fact that the system is set in {{\mathbb{H}}}^{n} .

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