[PDF] Top 20 Existence of solutions to a class of quasilinear elliptic problems with nonlinear singular terms
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Existence of solutions to a class of quasilinear elliptic problems with nonlinear singular terms
... the existence of solutions by means of upper-lower solution ...of nonlinear terms and the summability of the weighted function f (x) and then prove the existence of positive ... See full document
8
Existence and multiplicity of solutions for equations involving nonhomogeneous operators of p(x)-Laplace type in RN
... p-Laplacian problems because the function (x, t) = t p is not uniformly convex for t > ...the existence of infinitely many solutions for a class of quasilinear elliptic ... See full document
17
Positive symmetric solutions for a class of critical quasilinear elliptic problems in RN
... in singular po- tentials relies in their criticality: they have the same homogeneity as the Laplacian and the critical Sobolev exponent and do not belong to the Kato class, hence they cannot be regarded as ... See full document
18
Three solutions for a class of quasilinear elliptic systems involving the p(x)-Laplace operator
... variational problems with nonstandard p(x)-growth conditions has been attracting attention of many authors in the last two ...from nonlinear elasticity theory, electro-rheological fluids, ...of ... See full document
10
Existence of weak solutions for a class of quasilinear elliptic systems
... the existence of weak solutions for the resonant elliptic problems, and then were widely used and extended (see [–] and their ...For nonlinear elliptic systems, let F s (x, s, ... See full document
9
Multiplicity of solutions for singular semilinear elliptic equations in weighted Sobolev spaces
... 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
14
Existence of solutions for a class of degenerate quasilinear elliptic equation in RN with vanishing potentials
... many problems of nonlinear diffusion. Just to mention, in nonlinear optics, plasma physics, condensed matter physics and in modeling problems in non-Newtonian ... See full document
16
Existence of solution for p-Laplacian boundary value problems with two singular and subcritical nonlinearities
... the singular elliptic ...in singular phenom- ena in nonlinear elliptic problems from blow-up boundary solutions to equations with singular nonlinearities in two ... See full document
16
On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations
... The existence and nonexistence of entire solutions, existence of multiple positive entire solutions of ...other problems have also been treated by many other ... See full document
19
The existence and multiplicity of positive solutions for a class of nonlocal elliptic problems
... of solutions admitted subject to the vari- ations of parameters embedded in nonlinear ...the existence and multiplicity of positive solutions for the elliptic equations has been ... See full document
35
Symmetric solutions for singular quasilinear elliptic systems involving multiple critical Hardy-Sobolev exponents
... the existence and mul- tiplicity of solutions for singular elliptic systems in recent ...following singular semilin- ear elliptic ... See full document
19
The existence of sign-changing solution for a class of quasilinear Schrödinger–Poisson systems via perturbation method
... the existence of positive ground state solutions by using the mountain pass ...the existence of nontrivial solution and concentration results for a class of Schrödinger–Poisson equations via ... See full document
19
Existence and Nonexistence of Entire Positive Solutions for a Class of Singular p Laplacian Elliptic System
... “Entire Solutions Blowing up at Infinity for Semilinear Elliptic Systems,” Journal de Mathématiques Pures et Appliquées, ...and Singular Ground ... See full document
8
A note on the existence of solutions for a class of quasilinear elliptic equations: an Orlicz-Sobolev space setting
... 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
7
Construction of singular limits for a strongly perturbed four-dimensional Navier problem with exponentially dominated nonlinearity and nonlinear terms
... the elliptic regularity theory implies that this solution is in fact ...of solutions constructed will satisfy the required properties, namely away from the points x j the sequence ... See full document
25
Nontrivial solutions of second-order singular Dirichlet systems
... We study the existence of nontrivial solutions for second-order singular Dirichlet systems. The proof is based on a well-known fixed point theorem in cones and the Leray-Schauder nonlinear ... See full document
14
Existence and multiplicity of solutions for a p-Kirchhoff equation on \({\mathbb {R}}^{N}\)
... degenerate case. Furthermore, our assumption on the potential V is totally different from all the previous works which were concerned with Kirchhoff-type problems to the best of our knowledge. The assumption on V is ... See full document
12
Existence of a nontrivial solution for a (p,q)-Laplacian equation with p-critical exponent in RN
... When the domain is the whole R N , Sobolev’s immersion is not compact. In order to overcome this issue, the concentration-compactness principle or constrained minimiza- tion methods (see [, , ] and [], respectively) ... See full document
15
On the decay and blow up of solutions for a quasilinear hyperbolic equations with nonlinear damping and source terms
... Problems of this type arise in physics. For example, this problem represents the longitu- dinal motion of a viscoelastic configuration which obeys a nonlinear Voight model [, ]. When m = , () becomes the ... See full document
14
Existence and Asymptotic Behavior of Positive Solutions to Laplacian Equations with Singular Nonlinearities
... variational problems with nonstandard p(x)- growth conditions is a new and interesting ...these problems. Many results have been obtained on this kind of problems, for exam- ple, ...weak ... See full document
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