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Št. zadetkov: 2
Nonlinear elliptic equations on Carnot groups
Massimiliano Ferrara, Giovanni Molica Bisci, Dušan Repovš
Izvirni znanstveni članek
Oznake: subelliptic equation;Carnot group;weak solution;critical point result;Heisenberg group;Folland-Stein space;
This article concerns a class of elliptic equations on Carnot groups depending on one real positive parameter and involving a subcritical nonlinearity. As a special case of our results we prove the existence of at least one nontrivial solution for a subelliptic equation defined on a smooth and bound ...
Leto: 2017 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Existence results for nonlinear elliptic problems on fractal domains
Massimiliano Ferrara, Giovanni Molica Bisci, Dušan Repovš
Izvirni znanstveni članek
Oznake: Sierpiński gasket;nonlinear elliptic equation;Dirichlet form,;weak Laplacian;
Some existence results for a parametric Dirichlet problem defined on the Sierpiński fractal are proved. More precisely, a critical point result for differentiable functionals is exploited in order to prove the existence of a well-determined open interval of positive eigenvalues for which the problem ...
Leto: 2016 Vir: Fakulteta za matematiko in fiziko (UL FMF)
Št. zadetkov: 2
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