Robin problems with a general potential and a superlinear reaction
Copyright policy )Robin problems with a general potential and a superlinear reaction
We consider semilinear Robin problems driven by the negative Laplacian plus an indefinite potential and with a superlinear reaction term which need not satisfy the Ambrosetti-Rabinowitz condition. We prove existence and multiplicity theorems (producing also an infinity of smooth solutions) using variational tools, truncation and perturbation techniques and Morse theory (critical groups).
- King Saud University Saudi Arabia
- National Technical University Ecuador
- King Abdulaziz University Saudi Arabia
- University of Craiova Romania
- University of Ljubljana Slovenia
Variational methods for second-order elliptic equations, Semilinear elliptic equations, info:eu-repo/classification/udc/517.956.2, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Robin boundary condition, regularity theory, 35J20, 35J60, 58E05, superlinear reaction term, Mathematics - Analysis of PDEs, FOS: Mathematics, nodal solutions, indefinite potential, semilinear problem, critical groups, Analysis of PDEs (math.AP)
Variational methods for second-order elliptic equations, Semilinear elliptic equations, info:eu-repo/classification/udc/517.956.2, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Robin boundary condition, regularity theory, 35J20, 35J60, 58E05, superlinear reaction term, Mathematics - Analysis of PDEs, FOS: Mathematics, nodal solutions, indefinite potential, semilinear problem, critical groups, Analysis of PDEs (math.AP)
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