Dual Variational Method and Applications to Boundary Value Problems

2001 ◽  
pp. 139-172
Author(s):  
Maria do Rosário Grossinho ◽  
Stepan Agop Tersian
Keyword(s):  
Variational Method ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Dual Variational Method

Multiplicity of solutions for a nonlocal nonhomogeneous Neumann boundary problem with two critical exponents

2021 ◽  
pp. 1-22
Author(s):  
Augusto Costa ◽  
Andréia Pinheiro
Keyword(s):  
Variational Method ◽  
Boundary Value Problems ◽  
Boundary Problem ◽  
Critical Exponents ◽  
Boundary Value ◽  
Neumann Boundary ◽  
Critical Growth ◽  
Multiplicity Of Solutions ◽  
Neumann Boundary Value Problems

This article concerns the multiplicity of solutions for a class of nonlocal and nonhomogeneous Neumann boundary value problems involving the p ( x )-Laplacian, in which both nonlinear terms assume critical growth. We use variational method, exploring an important truncation argument and properties of the genus.

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