13 research outputs found
Multiple Solutions for Biharmonic Equations with Asymptotically Linear Nonlinearities
The existence of multiple solutions for a class of fourth elliptic equation with respect to the resonance and nonresonance conditions is established by using the minimax method and Morse theory
Nontrivial Solutions for Asymmetric Kirchhoff Type Problems
We consider a class of particular Kirchhoff type problems with a right-hand side nonlinearity which exhibits an asymmetric growth
at +â
and ââ in âN(N=2,3). Namely, it is 4-linear at ââ and 4-superlinear at +â. However, it need not satisfy the Ambrosetti-Rabinowitz condition on the positive semiaxis. Some existence results for nontrivial solution are established by combining Mountain Pass Theorem and a variant version of Mountain Pass Theorem with Moser-Trudinger inequality
Biharmonic equations with improved subcritical polynomial growth and subcritical exponential growth
Multiple solutions for a class of fractional equations
In this paper we study a class of fractional Laplace equations with asymptotically linear right-hand side. The existence results of three nontrivial solutions under the resonance and non-resonance conditions are established by using the minimax method and Morse theory