Using the sub-supersolution method, we study the existence of positive solutions for the anisotropic problem-Sigma(N)(i=1) partial derivative/partial derivative x(i) (vertical bar partial derivative u/partial derivative x(i)vertical bar(pi-2) partial derivative u/partial derivative x(i)) = lambda u(q-1) (0.1)where Omega is a bounded and regular domain of R-N, q > 1, and lambda > 0.
Simone Ciani, Giovany M. Figueiredo, Antonio Suárez (2021). Existence of positive eigenfunctions to an anisotropic elliptic operator via the sub-supersolution method. ARCHIV DER MATHEMATIK, 116(1), 85-95 [10.1007/s00013-020-01518-4].
Existence of positive eigenfunctions to an anisotropic elliptic operator via the sub-supersolution method
Simone Ciani;
2021
Abstract
Using the sub-supersolution method, we study the existence of positive solutions for the anisotropic problem-Sigma(N)(i=1) partial derivative/partial derivative x(i) (vertical bar partial derivative u/partial derivative x(i)vertical bar(pi-2) partial derivative u/partial derivative x(i)) = lambda u(q-1) (0.1)where Omega is a bounded and regular domain of R-N, q > 1, and lambda > 0.File in questo prodotto:
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