Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems

2004 ◽  
Author(s):  
Leszek Gasinski ◽  
Nikolaos Papageorgiou
Keyword(s):  
Boundary Value Problems ◽  
Critical Point ◽  
Critical Point Theory ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Point Theory ◽  
Nonlinear Boundary Value Problems ◽  
Nonsmooth Critical Point Theory ◽  
Nonsmooth Critical Point ◽  
Nonlinear Boundary Value

scholarly journals Perturbation results involving the 1-Laplace operator

2019 ◽  
Vol 12 (3) ◽  
pp. 277-302 ◽  
Author(s):  
Samuel Littig ◽  
Friedemann Schuricht
Keyword(s):  
Critical Point ◽  
Laplace Operator ◽  
Critical Point Theory ◽  
Eigenvalue Problems ◽  
Point Theory ◽  
Nonsmooth Critical Point Theory ◽  
Unperturbed Problem ◽  
Nonsmooth Critical Point

AbstractWe consider perturbed eigenvalue problems of the 1-Laplace operator and verify the existence of a sequence of solutions. It is shown that the eigenvalues of the perturbed problem converge to the corresponding eigenvalue of the unperturbed problem as the perturbation becomes small. The results rely on nonsmooth critical point theory based on the weak slope.

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