scholarly journals Moser iteration applied to elliptic equations with critical growth on the boundary

2019 ◽  
Vol 180 ◽  
pp. 154-169 ◽  
Author(s):  
Greta Marino ◽  
Patrick Winkert
Keyword(s):  
Elliptic Equations ◽  
Critical Growth ◽  
Moser Iteration

Nodal solutions for fractional elliptic equations involving exponential critical growth

2020 ◽  
Vol 43 (6) ◽  
pp. 3650-3672
Author(s):  
Manassés Souza ◽  
Uberlandio Batista Severo ◽  
Thiago Luiz do Rêgo
Keyword(s):  
Elliptic Equations ◽  
Critical Growth ◽  
Nodal Solutions ◽  
Exponential Critical Growth

scholarly journals On a class of nonlinear elliptic equations with fast increasing weight and critical growth

2010 ◽  
Vol 249 (5) ◽  
pp. 1035-1055 ◽  
Author(s):  
Marcelo F. Furtado ◽  
Olímpio H. Myiagaki ◽  
João Pablo P. da Silva
Keyword(s):  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Critical Growth ◽  
Nonlinear Elliptic

Quasilinear asymptotically periodic elliptic equations with critical growth

2009 ◽  
Vol 71 (7-8) ◽  
pp. 2890-2905 ◽  
Author(s):  
Haendel F. Lins ◽  
Elves A.B. Silva
Keyword(s):  
Elliptic Equations ◽  
Critical Growth ◽  
Asymptotically Periodic

ELLIPTIC EQUATIONS IN ℝ2 WITH ONE-SIDED EXPONENTIAL GROWTH

2004 ◽  
Vol 06 (06) ◽  
pp. 947-971 ◽  
Author(s):  
ZHITAO ZHANG ◽  
MARTA CALANCHI ◽  
BERNHARD RUF
Keyword(s):  
Exponential Growth ◽  
Elliptic Equations ◽  
Morse Index ◽  
Linear Growth ◽  
Critical Growth ◽  
The Other ◽  
Critical Groups ◽  
Bounded Domains ◽  
Eigen Value

We consider elliptic equations in bounded domains Ω⊂ℝ2 with nonlinearities which have exponential growth at +∞ (subcritical and critical growth, respectively) and linear growth λ at -∞, with λ>λ1, the first eigen value of the Laplacian. We prove that such equations have at least two solutions for certain forcing terms; one solution is negative, the other one is sign-changing. Some critical groups and Morse index of these solutions are given. Also the case λ<λ1 is considered.

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