Superlinear Robin Problems with Indefinite Linear Part
We consider a semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential and a superlinear reaction term which need not satisfy the Ambrosetti-Rabinowitz condition. Using variational tools we prove two theorems.
Nikolaos S Papageorgiou +2 more
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Nonlinear elliptic problems with superlinear reaction and parametric concave boundary condition
Israel Journal of Mathematics, 2016The paper under review deals with the existence and characterization of solutions of the following nonlinear elliptic system with Neumann boundary condition \[ \begin{cases} -\Delta_p u(z)=f(z,u(z)) &\text{ in }\Omega,\\ |\nabla u|^{p-2}\nabla u\cdot n=\lambda\beta(z)u(z)^{q-1} & \text{ on }\partial\Omega, \end{cases} \] where \(\Delta_p u ...
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