Neumann Problems with Indefinite and Unbounded Potential and Concave Terms
نویسنده
چکیده
We consider a semilinear parametric Neumann problem driven by the negative Laplacian plus an indefinite and unbounded potential. The reaction is asymptotically linear and exhibits a negative concave term near the origin. Using variational methods together with truncation and perturbation techniques and critical groups, we show that for all small values of the parameter the problem has at least five nontrivial solutions, four of which have constant sign.
منابع مشابه
Multiple Solutions for Parametric Neumann Problems with Indefinite and Unbounded Potential
We consider a parametric Neumann problem with an indefinite and unbounded potential. Using a combination of critical point theory with truncation techniques and with Morse theory, we produce four nontrivial smooth weak solutions: one positive, one negative and two nodal (sign changing). AMS Subject Classifications: 35J20, 35J60, 58E05.
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