[PDF] Top 20 Solutions for the quasi linear elliptic problems involving the critical Sobolev exponent
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Solutions for the quasi linear elliptic problems involving the critical Sobolev exponent
... singular problems. However, compared with the semilinear case, the quasi-linear problems related to Hardy inequality are more complicated ... See full document
20
Infinitely many sign-changing solutions for p-Laplacian equation involving the critical Sobolev exponent
... p-Laplacian, p ∗ = pN/(N – p) is the critical Sobolev exponent and λ > 0 is a parameter. By establishing a new deformation lemma, we show that if N > p 2 + p, then for each λ > 0, this ... See full document
10
Bifurcation of Gradient Mappings Possessing the Palais Smale Condition
... This paper considers bifurcation at the principal eigenvalue of a class of gradient operators which possess the Palais-Smale condition. The existence of the bifurcation branch and the asymptotic nature of the bifurcation ... See full document
15
Multiple positive solutions for quasilinear elliptic problems with combined critical Sobolev–Hardy terms
... 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
19
Existence of multiple solutions for a quasilinear Neumann problem with critical exponent
... 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 ... See full document
17
Existence of solutions for a family of polyharmonic and biharmonic equations
... of solutions in this case are mountain-pass lemma and Pohozaev identity, respectively; see [4, Sections ...the critical Sobolev exponents case, that is, p = (n+2)/(n − 2), Br´ezis and Nirenberg, by ... See full document
13
25. On a class of quasilinear elliptic systems in rn involving critical sobolev exponents
... Our aim is to find the condition of the above theorem. The fixed points of the set- valued mapping S are precisely the weak solutions of system (1.1). In other words, we state the existence of a pair (u, v) ∈ Z ... See full document
7
Multiplicity result for a critical elliptic system with concave-convex nonlinearities
... multiple solutions of a strongly indefinite elliptic system involving the critical Sobolev exponent and concave-convex ... See full document
10
Symmetric solutions for singular quasilinear elliptic systems involving multiple critical Hardy-Sobolev exponents
... 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
19
Multiplicity of solutions for elliptic problems of p-Kirchhoff type with critical exponent
... on problems involving critical exponents, starting from the celebrated paper by Brezis and Nirenberg ...many solutions with odd ...many solutions by using the minimax ... See full document
12
Quasilinear elliptic equations with Hardy terms and Hardy-Sobolev critical exponents: nontrivial solutions
... 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
11
Multiple solutions to the Kirchhoff fractional equation involving Hardy–Littlewood–Sobolev critical exponent
... many solutions to a critical Kirchhoff type fractional ...on problems in the whole ...of solutions to a fractional Kirchhoff type eigenvalue ...with Sobolev critical ex- ... See full document
17
Existence of solution for a singular elliptic equation with critical Sobolev Hardy exponents
... that (1.5) has a nontrivial solution under certain conditions for λ and µ. Moreover, Cao in [4, 5] and Chen in [6] also studied the semilinear elliptic equation (1.5). They show that (1.5) has nontrivial ... See full document
11
Multiple positive solutions for a class of quasi-linear elliptic equations involving concave-convex nonlinearities and Hardy terms
... Such kind of problem with critical exponents and nonnegative weight functions has been extensively studied by many authors. We refer, e.g., in bounded domains and for p = 2 to [4-6] and for p >1 to [7-11], ... See full document
15
Existence of positive solutions for a fractional elliptic problems with the Hardy-Sobolev-Maz’ya potential and critical nonlinearities
... positive solutions of problem (1) for s = 1 by using variational ...positive solutions for problem (1) by the variational methods and some analysis techniques with f satisfying the (AR) ...semilinear ... See full document
11
On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli Kohn Nirenberg inequality in \(\mathbb{R}^{N}\)
... The critical growth in elliptic problems has been extensively studied in the last decades, starting with the seminal paper ...to problems involving the singular potentials and ... See full document
22
Positive Radial Solutions for a Class of Semilinear Elliptic Problems Involving Critical Hardy Sobolev Exponent and Hardy Terms
... semilinear elliptic problems involving critical Hardy-Sobolev exponent and Hardy terms, and obtain positive radial solutions for these problems via an abstract ... See full document
13
Multiple Solutions for an Elliptic Equation with Hardy Sobolev Critical Exponent, Hardy Sobolev Maz’ya Potential and Sign Changing Weights
... Our motivation of this study is the fact that such equations arise in the search for solitary waves of nonlinear evolution equations of the Schrodinger or Klein- Gordon type. Roughly speaking, a solitary wave is a ... See full document
13
Weighted Sobolev spaces and ground state solutions for quasilinear elliptic problems with unbounded and decaying potentials
... Rabinowitz [] proved the existence of a ground state solution for problem (.). Further, when V (x) has a positive lower bound and K(x) is bounded, using critical point theory, del Pino and Felmer [, ] ... See full document
15
On Kirchhoff Problems Involving Critical Exponent and Critical Growth
... multiple solutions and the references ...three critical points whose norms are uniformly bounded in respect to belonging to one of the two intervals and he obtained multiplicity results for a two point ... See full document
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