On the p-Biharmonic Operator with Critical Sobolev Exponent and Nonlinear Steklov Boundary Condition
On the p-Biharmonic Operator with Critical Sobolev Exponent and Nonlinear Steklov Boundary Condition
We show that this operator possesses at least one nondecreasing sequence of positive eigenvalues. A direct characterization of the principal eigenvalue (the first one) is given that we apply to study the spectrum of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:math>-biharmonic operator with a critical Sobolev exponent and the nonlinear Steklov boundary conditions …