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Positive solutions of a kind of equations related to the Laplacian and p-Laplacian on a bounded domain in RN with N⩾1 are studied by using variational method. A sufficient condition of the existence of positive solutions is characterized by the eigenvalues of linear and another nonlinear eigenvalue problems

journal of function spaces

Positive Solutions of a Kind of Equations Related to the Laplacian and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:math>-Laplacian

Positive Solutions of a Kind of Equations Related to the Laplacian andp-Laplacian