Search Results - "Miyagaki, Olimpio H."
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Positive ground state solutions for the critical Klein–Gordon–Maxwell system with potentials
Published in Nonlinear analysis (01-06-2012)“…This paper deals with the Klein–Gordon–Maxwell system when the nonlinearity exhibits critical growth. We prove the existence of positive ground state solutions…”
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2
Soliton solutions for quasilinear Schrödinger equations: The critical exponential case
Published in Nonlinear analysis (15-12-2007)“…Quasilinear elliptic equations in R 2 of second order with critical exponential growth are considered. By using a change of variable, the quasilinear equations…”
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3
Normalized solutions for a Schrödinger equation with critical growth in RN
Published in Calculus of variations and partial differential equations (2022)“…In this paper we study the existence of normalized solutions to the following nonlinear Schrödinger equation with critical growth - Δ u = λ u + f ( u ) , in R…”
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Existence and multiplicity of solutions for a supercritical elliptic problem in unbounded cylinders
Published in Boundary value problems (13-04-2017)“…We consider the following elliptic problem: { − div ( | ∇ u | p − 2 ∇ u | y | a p ) = | u | q − 2 u | y | b q + f ( x ) in Ω , u = 0 on ∂ Ω , in an unbounded…”
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5
Soliton solutions for quasilinear Schrödinger equations with critical growth
Published in Journal of Differential Equations (15-02-2010)“…In this paper we establish the existence of standing wave solutions for quasilinear Schrödinger equations involving critical growth. By using a change of…”
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6
Nonnegative solution for quasilinear Schrödinger equations that include supercritical exponents with nonlinearities that are indefinite in sign
Published in Journal of mathematical analysis and applications (01-01-2015)“…In this study, we establish the existence of solutions for quasilinear Schrödinger equations involving supercritical growth with nonlinearities that are…”
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7
Topological structure of the solution set for a fractional p-Laplacian problem with singular nonlinearity
Published in Electronic journal of differential equations (11-08-2022)Get full text
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8
Nonlocal Kirchhoff problems with Trudinger–Moser critical nonlinearities
Published in Nonlinear differential equations and applications (01-08-2019)“…The paper deals with existence of solutions for a class of nonlinear elliptic equations, involving a nonlocal Kirchhoff term and possibly Trudinger–Moser…”
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9
A Fractional p-Laplacian Problem with Multiple Critical Hardy–Sobolev Nonlinearities
Published in Milan journal of mathematics (01-06-2020)“…In this work, we study the existence of a weak solution to the following quasi linear elliptic problem involving the fractional p -Laplacian operator, a Hardy…”
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10
On a nonlocal elliptic system of Hardy‐Kirchhoff type with critical exponents
Published in Mathematical methods in the applied sciences (15-01-2023)“…In this work, we consider a class of critical variational systems in ℝN$$ {\mathbb{R}}^N $$ of the Hardy‐Kirchhoff type involving the…”
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11
Nonautonomous fractional problems with exponential growth
Published in Nonlinear differential equations and applications (01-10-2015)“…We study a class of nonlinear nonautonomous nonlocal equations with subcritical and critical exponential nonlinearity. The involved potential can vanish at…”
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12
Multiplicity of nonnegative solutions for quasilinear Schrödinger equations
Published in Journal of mathematical analysis and applications (01-02-2016)“…The paper deals with existence and multiplicity of nonnegative weak solutions for quasilinear Schrödinger equations involving nonlinearities with possibly…”
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13
Multiplicity of solutions to class of nonlocal elliptic problems with critical exponents
Published in Mathematical methods in the applied sciences (15-05-2022)“…In this paper, we establish existence of infinitely many weak solutions for a class of quasilinear stationary Kirchhoff‐type equations, which involves a…”
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14
Existence of bound state solutions for degenerate singular perturbation problems with sign-changing potentials
Published in Electronic journal of differential equations (27-06-2012)“…In this article, we study the degenerate singular perturbation problems $$displaylines{ -varepsilon^2hbox{div}(|x|^{-2a}abla u)+|x|^{-2(a+1)}V(x)u =…”
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15
Ground states of degenerate quasilinear Schrödinger equation with vanishing potentials
Published in Nonlinear analysis (01-12-2019)“…In this paper we study the existence of nontrivial ground state solutions for the following class of p-Laplacian type equation…”
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16
Radial solutions of inhomogeneous fourth order elliptic equations and weighted Sobolev embeddings
Published in Advances in nonlinear analysis (01-05-2015)“…We deal with a class of inhomogeneous elliptic problems involving the biharmonic operator Δ2u + V(|x|)|u|q-2u = Q(|x|)f(u), u ∈ D02,2(ℝN), where Δ2 is the…”
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17
On existence and concentration of solutions for Hamiltonian systems involving fractional operator with critical exponential growth
Published in Mathematische Nachrichten (01-08-2022)“…This paper is concerned with the existence and concentration of ground state solutions for the following class of fractional Schrödinger system…”
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18
On a class of degenerate quasilinear elliptic equations with zero mass
Published in Complex variables and elliptic equations (02-11-2022)“…Existence of radially symmetric positive solutions for a general class of quasi linear elliptic equations in the zero mass situation is proven. Our results…”
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19
Schrödinger equations involving fractional p-Laplacian with supercritical exponent
Published in Complex variables and elliptic equations (04-05-2022)“…In this paper we establish the existence of solutions for Schrödinger equations involving fractional p-Laplacian with supercritical growth and nonlinearities…”
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20
Existence and Concentration of Solutions for a Class of Elliptic Kirchhoff–Schrödinger Equations with Subcritical and Critical Growth
Published in Milan journal of mathematics (01-12-2020)“…This study focuses on the existence and concentration of ground state solutions for a class of fractional Kirchhoff–Schrödinger equations. We first study the…”
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