Superlinear elliptic boundary value problems

1995 ◽  
Vol 86 (1) ◽  
pp. 253-265 ◽  
Author(s):  
Martin Schechter
Keyword(s):  
Boundary Value Problems ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Elliptic Boundary Value Problems ◽  
Elliptic Boundary Value ◽  
Superlinear Elliptic Boundary

Infinitely Many Solutions of Elliptic Problems With Perturbed Symmetries in Symmetric Domains

2006 ◽  
Vol 6 (2) ◽  
Author(s):  
Mónica Clapp ◽  
Eric Hernández-Martínez
Keyword(s):  
Boundary Value Problems ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Elliptic Problems ◽  
Elliptic Boundary Value Problems ◽  
Infinitely Many Solutions ◽  
Invariant Solutions ◽  
Elliptic Boundary Value ◽  
Superlinear Elliptic Boundary

AbstractWe study superlinear elliptic boundary value problems with perturbed symmetries in domains which are invariant under the action of a group G. We give conditions on the growth of the nonlinearity which guarantee the existence of infinitely many G-invariant solutions. These conditions improve those obtained by Bahri and Lions (1988) and Bolle, Ghoussoub and Tehrani (2000) if the domain contains a G-orbit of large enough dimension.

scholarly journals Superlinear elliptic boundary value problems

1987 ◽  
Vol 37 (3) ◽  
pp. 386-399 ◽  
Author(s):  
R. Kannan ◽  
Rafael Ortega
Keyword(s):  
Boundary Value Problems ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Elliptic Boundary Value Problems ◽  
Elliptic Boundary Value ◽  
Superlinear Elliptic Boundary

scholarly journals Multiplicity results for semilinear elliptic boundary value problems in Besov and Triebel-Lizorkin spaces

1991 ◽  
Vol 34 (3) ◽  
pp. 393-410 ◽  
Author(s):  
L. Päivärinta ◽  
T. Runst
Keyword(s):  
Boundary Value Problems ◽  
Lower Bounds ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Elliptic Boundary Value Problems ◽  
Number Of Solutions ◽  
Multiplicity Results ◽  
Elliptic Boundary Value ◽  
Semilinear Elliptic ◽  
Superlinear Elliptic Boundary

The paper deals with superlinear elliptic boundary value problems depending on a parameter. Given appropriate hypotheses concerning the asymptotic behaviour of the nonlinearity, we prove lower bounds on the number of solutions. The results generalize a theorem due to Lazer and McKenna within the framework of quasi-Banach spaces of Besov and Triebel-Lizorkin spaces.

Numerical solution of elliptic boundary-value problems for Schrödinger-type equations using the Kantorovich method

2014 ◽  
Vol 2 (1) ◽  
Author(s):  
A.A. Gusev ◽  
O. Chuluunbaatar ◽  
S.I. Vinitsky ◽  
A.G. Abrashkevich ◽  
V.L. Derbov
Keyword(s):  
Numerical Solution ◽  
Boundary Value Problems ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Elliptic Boundary Value Problems ◽  
Kantorovich Method ◽  
Elliptic Boundary Value

scholarly journals Parallel black box $$\mathcal {H}$$ -LU preconditioning for elliptic boundary value problems

2008 ◽  
Vol 11 (4-6) ◽  
pp. 273-291 ◽  
Author(s):  
Lars Grasedyck ◽  
Ronald Kriemann ◽  
Sabine Le Borne
Keyword(s):  
Boundary Value Problems ◽  
Elliptic Boundary ◽  
Boundary Value ◽  
Black Box ◽  
Elliptic Boundary Value Problems ◽  
Elliptic Boundary Value
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