[PDF] Top 20 Multiple solutions for quasilinear elliptic Neumann problems in Orlicz-Sobolev spaces

... Our goal in this short note is to prove the existence of two nontrivial solutions to our problem under some suitable conditions on g . The main tool that we are going to use is an abstract existence result of ... See full document

... of solutions of the Kirchhoff elliptic equations with nonlinearity in R N ...in Orlicz spaces and the technique of variation principle, we prove that there are at least three solutions ... See full document

... and established existence results. Papageorgiou and Rocha [10] considered a p-Laplacian problem with nonlinearities of the form m(x)|u| r–2 u + f (x, u) with 1 < r < p < ∞ when f is (p – 1) superlinear near ... See full document

... -Data and the Link between Various Formulations, Indiana Univ. Math. J., 43 (2), (1994), 685–702. 31. A. Youssfi, A. Benkirane, M. El Moumni, Bounded Solutions of Unilateral Problems for Strongly Nonlinear ... See full document

... Laplacian elliptic equation with critical Sobolev exponent was Po- hozaev [1], the author established the nonexistence of nontrivial solution to the Dirichlet problems when is a star-shaped domain ... See full document

... where Ω is a star-shaped domain with respect to the origin, and obtained that there is no nontrivial solution. However, lower order terms can reverse this situation. Indeed, Brezis and Nirenberg [1] proved the existence ... See full document

... On the other hand, there have been many papers concerned with the existence and mul- tiplicity of solutions for singular elliptic systems in recent years. Many results were ob- tained in these publications ... See full document

... eigenvalue problems of singular quasilinear el- liptic and parabolic equations in weighted Sobolev spaces, he obtained many existence results by using Galerkin ...the quasilinear el- ... See full document

... Our first purpose is to consider V( | x | ) and K( | x | ) whose behavior can be described by a more general class of functions. Furthermore, we obtain some a priori Strauss-type decay estimates and some continuous and ... See full document

... ena (see [, ]). Based on these interesting facts, this type of equations has caused great interest among scholars in recent years. In Clément et al. [], the authors firstly studied the existence of nontrivial solution ... See full document

... use Minimax Methods and explore compact embedddings in the context of Orlicz and Orlicz-Sobolev spaces to get existence of weak solutions on a class of semilinear elliptic equations with[r] ... See full document

... To the best of our knowledge, there are only a few works about parabolic equations with variable exponents of nonlinearity. In [], Chen, Levine and Rao obtained the exis- tence and uniqueness of weak solutions ... See full document

... is the well-known p-Laplacian equation. There is a large number of papers on the exis- tence of solutions for the p-Laplacian equation. But the problem (.) possesses more com- plicated nonlinearities. For ... See full document

... semilinear elliptic systems have been studied extensively and many conclusions have been ...an elliptic system and some important conclusions had been ...the elliptic systems involving the Hardy ... See full document

... nontrivial solutions of a quasilinear elliptic equation with p-Laplacian, Hardy term and Hardy-Sobolev critical exponent by using variational methods and some analysis ... See full document

... Theorem 2. Assume (A1),(A2),(A3)(or (A3)’),(G) and (E) hold. Then there exist an open interval Λ ⊆ [0, ∞) and a positive real number r with the following property: for each l Î Λ, there exists s > 0 such that for each ... See full document

... weak solutions for a new class of initial/boundary-value parabolic problems with nonlinear perturbation term in weighted Sobolev ...weighted Sobolev space and extending Galerkin’s method to a ... See full document

... that Sobolev spaces have played essential roles in solving nonlinear par- tial differential ...equations. Orlicz-Sobolev spaces are generalized from Sobolev ...of Orlicz- ... See full document

... for all ζ ∈ R, the function z – → f (z, ζ ) is measurable and for almost all z ∈ , the func- tion ζ – → f (z, ζ ) is continuous), which exhibits strictly (p – )-sublinear growth in the ζ -variable near + ∞ . The aim of ... See full document

... nonlinear elliptic problems under Neumann conditions involving the ...nontrivial solutions, which means that we get two extremal constant-sign solutions and one sign-changing solution ... See full document